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Falthon
2010-10-18, 01:12 PM
I need to convert from an RPG that uses a dice pool system similar to White Wolf to one that uses d100 (with everything expressed as a percentage).

The dice pool system uses only 10-sided dice. You roll a certain number of dice, determined by your stats and special abilities. You have a target based on the difficulty of the task. The difficulty will never be lower than 2; there is no upper limit, but a 10 is always a success. (Difficulties higher than 10 exist because you may have special abilities that reduce the difficulty.) Any roll equal to or greater than the difficulty is a success. You count the number of successes to determine how well you did. If you roll 6 dice with a difficulty of 7 and get 2, 4, 5, 6, 8, and 9, you have two successes.

As an added complication, 1's are sometimes subtracted from successes, but not always. For example, if you are subtracting ones from successes, and your difficulty is 7, then a roll of 1, 4, 5, 6, 8, and 9 gives you one success.

As a further complication, you sometimes get to reroll 10's, but not always. (You can only reroll 10's if you are specialized in the relevant skill or have a special ability.)

You may need a certain number of successes to accomplish a task. For example, to open this door, you may need 3 successes at Difficulty 6. Or two players may make opposed rolls. For example, if a thief tries to sneak up on a mark, the thief rolls to sneak, the mark rolls to perceive, and the character with more successes wins, with a tie going to the defender.

How would I convert a roll in this system to a percentage?

Oudthrinn
2010-10-18, 04:15 PM
If I remember correctly, 8 9 and 10 are successes and 1s subtract from your successes. Therefore a given TN can be multiplied by 20 give you the base number you need to roll over on the d100, and 3 times your dice pool can be subtracted from said number to mimic the normal results of your dice pool. So TN 6 on 16 die would normally give you a 28% success rate (72% chance to fail), and on the d100 you'd have to roll a 72 or higher using those modifiers.

Tested and it seems to work, so to recap

TN=x20 as a % on the d100 to hit (or higher)
Pool=x3 as a negative modifier to the % needed for the d100
Roll a d100 for result.

Happy Hunting :)

Dilb
2010-10-18, 04:46 PM
Without 1's being a failure, the exact chance of success is given by the (cumulative) binomial distribution. This is not easy or fun to work out exactly, and gives wildly different results depending on skill.

Oudthrinn, a quick simulation gave me a roughly 18% success for 6 of 16.

Oudthrinn
2010-10-18, 04:48 PM
18% off a 30% success rate per die, and needing 6 of them to be a success? How was my math that far off...?

Oudthrinn
2010-10-18, 05:31 PM
Yeah, rolled 16d10.vs(8) in OpenRPG and subtracted the 1s, came out to around 19.6% success rate. So I changed my equation to match just that (pool x2.5 instead x3), and then picked out random TNs between 1 and 6, with up to 20 dice pools (also random). Here's what I came up with:

SUCCESS RATES
TN 4, DP 12 = 50%
TN 5, DP 15 = 37.5%
TN 1, DP 19 = 127.5% (which would mean no roll necessary)
TN 3, DP 7 = 57.5%
TN 5, DP 18 = 45%
TN 4, DP 6 = 35%
TN 3, DP 10 = 65%
TN 6, DP 4 = -10% (again, no roll necessary due to less than 0% chance to succeed)

The only real problem with this is that it doesn't account for open (exploding) d10s. For this, I'd recommend re-modifying the equation to x3 instead of x2.5 for the dice pool, but for no mathematical reason whatsoever. Also, the above numbers are just what my equation generated, feel free to simulate these situations to double check approximate accuracy.

Dilb
2010-10-18, 05:34 PM
18% off a 30% success rate per die, and needing 6 of them to be a success? How was my math that far off...?

Wait, if we subtract the 1's it's on average a 20% (+30% and -10%) success, in which case I'm getting a ~3% success rate. If we don't subtract 1's, then it's roughly 18%, yeah.

Oudthrinn
2010-10-18, 05:36 PM
Dilb, good idea for the simulation of the dice pool itself. You wanna do the honors of simulating the rest of those as well? :)

Dilb
2010-10-18, 08:29 PM
Alright, 10000 rolls each of various permutations. The simulated results for difficulty 8, not subtracting 1s, are thus (in DP, TN, % success)
2 1 52
2 2 9
3 1 66
3 2 22
3 3 3
4 1 76
4 2 34
4 3 8
4 4 1
5 1 83
5 2 47
5 3 16
5 4 3
5 5 0
6 1 88
6 2 59
6 3 26
6 4 8
6 5 1
6 6 0
7 1 92
7 2 67
7 3 35
7 4 13
7 5 3
7 6 0
7 7 0
8 1 95
8 2 75
8 3 46
8 4 20
8 5 6
8 6 1
8 7 0
8 8 0
9 1 96
9 2 81
9 3 54
9 4 27
9 5 10
9 6 2
9 7 1
9 8 0
9 9 0
10 1 97
10 2 85
10 3 62
10 4 35
10 5 15
10 6 5
10 7 1
10 8 0
10 9 0
10 10 0
11 1 98
11 2 89
11 3 68
11 4 44
11 5 22
11 6 8
11 7 2
11 8 0
11 9 0
11 10 0
11 11 0
12 1 99
12 2 91
12 3 75
12 4 51
12 5 27
12 6 12
12 7 4
12 8 1
12 9 0
12 10 0
12 11 0
12 12 0
13 1 99
13 2 94
13 3 80
13 4 57
13 5 34
13 6 16
13 7 6
13 8 2
13 9 0
13 10 0
13 11 0
13 12 0
13 13 0
14 1 99
14 2 95
14 3 84
14 4 65
14 5 43
14 6 22
14 7 9
14 8 3
14 9 1
14 10 0
14 11 0
14 12 0
14 13 0
14 14 0
15 1 100
15 2 96
15 3 87
15 4 70
15 5 49
15 6 28
15 7 13
15 8 5
15 9 1
15 10 0
15 11 0
15 12 0
15 13 0
15 14 0
15 15 0
16 1 100
16 2 97
16 3 90
16 4 76
16 5 55
16 6 34
16 7 17
16 8 8
16 9 3
16 10 1
16 11 0
16 12 0
16 13 0
16 14 0
16 15 0
16 16 0
17 1 100
17 2 98
17 3 92
17 4 80
17 5 60
17 6 40
17 7 23
17 8 10
17 9 4
17 10 1
17 11 0
17 12 0
17 13 0
17 14 0
17 15 0
17 16 0
17 17 0
18 1 100
18 2 98
18 3 94
18 4 83
18 5 67
18 6 47
18 7 28
18 8 14
18 9 6
18 10 2
18 11 0
18 12 0
18 13 0
18 14 0
18 15 0
18 16 0
18 17 0
18 18 0
19 1 100
19 2 99
19 3 95
19 4 86
19 5 72
19 6 53
19 7 33
19 8 18
19 9 9
19 10 3
19 11 1
19 12 0
19 13 0
19 14 0
19 15 0
19 16 0
19 17 0
19 18 0
19 19 0
20 1 100
20 2 99
20 3 97
20 4 89
20 5 76
20 6 59
20 7 39
20 8 23
20 9 12
20 10 5
20 11 2
20 12 1
20 13 0
20 14 0
20 15 0
20 16 0
20 17 0
20 18 0
20 19 0
20 20 0


With 1's subtracted
2 1 45
2 2 9
3 1 54
3 2 20
3 3 3
4 1 60
4 2 28
4 3 7
4 4 1
5 1 65
5 2 36
5 3 13
5 4 3
5 5 0
6 1 69
6 2 42
6 3 20
6 4 5
6 5 1
6 6 0
7 1 72
7 2 48
7 3 24
7 4 9
7 5 2
7 6 0
7 7 0
8 1 74
8 2 52
8 3 30
8 4 14
8 5 4
8 6 1
8 7 0
8 8 0
9 1 77
9 2 57
9 3 35
9 4 17
9 5 6
9 6 1
9 7 0
9 8 0
9 9 0
10 1 78
10 2 60
10 3 40
10 4 21
10 5 9
10 6 3
10 7 1
10 8 0
10 9 0
10 10 0
11 1 81
11 2 63
11 3 44
11 4 25
11 5 12
11 6 5
11 7 1
11 8 0
11 9 0
11 10 0
11 11 0
12 1 82
12 2 67
12 3 49
12 4 30
12 5 15
12 6 6
12 7 2
12 8 1
12 9 0
12 10 0
12 11 0
12 12 0
13 1 83
13 2 70
13 3 52
13 4 34
13 5 19
13 6 9
13 7 3
13 8 1
13 9 0
13 10 0
13 11 0
13 12 0
13 13 0
14 1 85
14 2 72
14 3 55
14 4 38
14 5 24
14 6 11
14 7 5
14 8 2
14 9 1
14 10 0
14 11 0
14 12 0
14 13 0
14 14 0
15 1 87
15 2 74
15 3 58
15 4 41
15 5 26
15 6 14
15 7 6
15 8 3
15 9 1
15 10 0
15 11 0
15 12 0
15 13 0
15 14 0
15 15 0
16 1 87
16 2 76
16 3 61
16 4 46
16 5 30
16 6 16
16 7 8
16 8 3
16 9 1
16 10 0
16 11 0
16 12 0
16 13 0
16 14 0
16 15 0
16 16 0
17 1 88
17 2 77
17 3 64
17 4 48
17 5 33
17 6 20
17 7 11
17 8 5
17 9 2
17 10 1
17 11 0
17 12 0
17 13 0
17 14 0
17 15 0
17 16 0
17 17 0
18 1 89
18 2 80
18 3 67
18 4 51
18 5 36
18 6 23
18 7 12
18 8 6
18 9 2
18 10 1
18 11 0
18 12 0
18 13 0
18 14 0
18 15 0
18 16 0
18 17 0
18 18 0
19 1 90
19 2 82
19 3 69
19 4 53
19 5 38
19 6 25
19 7 15
19 8 7
19 9 4
19 10 1
19 11 0
19 12 0
19 13 0
19 14 0
19 15 0
19 16 0
19 17 0
19 18 0
19 19 0
20 1 91
20 2 83
20 3 70
20 4 57
20 5 43
20 6 29
20 7 18
20 8 9
20 9 5
20 10 2
20 11 1
20 12 0
20 13 0
20 14 0
20 15 0
20 16 0
20 17 0
20 18 0
20 19 0
20 20 0

And with 10's being a reroll
2 1 45
2 2 9
3 1 54
3 2 18
3 3 3
4 1 60
4 2 28
4 3 7
4 4 1
5 1 65
5 2 36
5 3 12
5 4 3
5 5 0
6 1 69
6 2 42
6 3 18
6 4 6
6 5 1
6 6 0
7 1 72
7 2 47
7 3 24
7 4 9
7 5 2
7 6 0
7 7 0
8 1 74
8 2 53
8 3 30
8 4 13
8 5 4
8 6 1
8 7 0
8 8 0
9 1 77
9 2 57
9 3 35
9 4 16
9 5 7
9 6 2
9 7 0
9 8 0
9 9 0
10 1 78
10 2 62
10 3 40
10 4 21
10 5 9
10 6 3
10 7 1
10 8 0
10 9 0
10 10 0
11 1 81
11 2 64
11 3 44
11 4 26
11 5 12
11 6 4
11 7 2
11 8 0
11 9 0
11 10 0
11 11 0
12 1 82
12 2 67
12 3 48
12 4 30
12 5 16
12 6 7
12 7 2
12 8 1
12 9 0
12 10 0
12 11 0
12 12 0
13 1 83
13 2 69
13 3 52
13 4 35
13 5 20
13 6 9
13 7 3
13 8 1
13 9 0
13 10 0
13 11 0
13 12 0
13 13 0
14 1 85
14 2 72
14 3 55
14 4 36
14 5 22
14 6 11
14 7 5
14 8 2
14 9 0
14 10 0
14 11 0
14 12 0
14 13 0
14 14 0
15 1 86
15 2 75
15 3 59
15 4 43
15 5 26
15 6 14
15 7 7
15 8 3
15 9 1
15 10 0
15 11 0
15 12 0
15 13 0
15 14 0
15 15 0
16 1 87
16 2 76
16 3 62
16 4 45
16 5 30
16 6 17
16 7 8
16 8 4
16 9 1
16 10 0
16 11 0
16 12 0
16 13 0
16 14 0
16 15 0
16 16 0
17 1 88
17 2 78
17 3 64
17 4 48
17 5 33
17 6 19
17 7 10
17 8 5
17 9 2
17 10 1
17 11 0
17 12 0
17 13 0
17 14 0
17 15 0
17 16 0
17 17 0
18 1 88
18 2 80
18 3 66
18 4 52
18 5 35
18 6 23
18 7 13
18 8 6
18 9 3
18 10 1
18 11 0
18 12 0
18 13 0
18 14 0
18 15 0
18 16 0
18 17 0
18 18 0
19 1 89
19 2 82
19 3 69
19 4 54
19 5 40
19 6 25
19 7 14
19 8 7
19 9 4
19 10 1
19 11 0
19 12 0
19 13 0
19 14 0
19 15 0
19 16 0
19 17 0
19 18 0
19 19 0
20 1 91
20 2 83
20 3 71
20 4 57
20 5 42
20 6 29
20 7 18
20 8 9
20 9 4
20 10 2
20 11 1
20 12 0
20 13 0
20 14 0
20 15 0
20 16 0
20 17 0
20 18 0
20 19 0
20 20 0

So your numbers tend to be quite a bit higher than the results are in practice. Also, exploding 10's have a pretty small effect. Bonus: python code

import random
diff = 8
for DP in range(2,20+1):
for TN in range (1,DP+1):
S = 0
for i in range(1,10001):
suc = 0
for j in range(1,DP+1):
die= random.randint(1,10)
if die == 1: #failure on 1
suc = suc -1 #comment out to remove
if die >= diff:
suc = suc + 1
if die ==10: #new roll on 10
j = j-1 #comment out to remove
if suc >= TN:
S = S +1
P = round(S/100)
print (DP,TN,P)
We could loop over difficulty, but that produces an excessive amount of output.

As a quick and dirty rule, I'd suggest
% = 100 - (30 -DP)*TN
which is within 10% for most rolls with more than 5 dice.

Bakkan
2010-10-19, 04:45 AM
As Dilb mentioned, without considering subtraction or rerolling 10s, this is a binomial distribution.

I'm afraid I don't know the standard terminology for dice pool systems, so I'll define all my variables.

Let P be the probability that a given d10 will be a success (so for example, if a success is 8 or more and there are no modifiers on the roll, p=0.3). The specifications given in the original post imply that in all cases, 0.1 <= P <= 0.9.

Let D be the number of dice being rolled.

The chance of rolling exactly X successes is nCr(D,X)*(P^X)(1-P)^(D-X), where nCr(D,X) = D!/(X!(D-X)!).

Let N be the number of successes needed to accomplish the task. Then the chance of rolling at least N successes is the sum as X goes from N to D, of the expressions nCr(D,X)*(P^X)(1-P)^(D-X).

The Python code to calculate this probability is given below.


def factorial(n): #returns the factorial of whole number n
if n==1 or n==0: return 1
else: return n*factorial(n-1)

def nCr(m,n): #returns the combination "m choose n"
if m<0 or n>m: return 0
return factorial(m)/(factorial(n)*factorial(m-n))

def chance(P,D,N): #This function calculates the probability of rolling at least N or more successes on D dice with a success chance of P
S=0
for X in range (N,D+1):
S=S+nCr(D,X)*(P**X)*((1-P)**(D-X))
return S


Now if some numbers result in a "negative success" (as, for instance, a result of 1 eliminating one success), then the situation becomes a little more complicated. Let Q be the chance of getting a negative success. Then the chance of getting exactly X successes and Y failures is nCr(D,X)*nCr(D-X,Y)*(P^X)*(Q^Y)*(1-P-Q)^(D-X-Y). For each X, we may have up to X-N failures, i.e. Y must be between 0 and X-N in order to accomplish the task. Therefore the total probability of succeeding on a task requiring N successes is

The sum, with X going from N to D, of
the sum, with Y going from from 0 to X-N, of
nCr(D,X)*nCr(D-X,Y)*(P^X)*(Q^Y)*(1-P-Q)^(D-X-Y).

The Python code to calculate this is given below.


def factorial(n): #returns the factorial of whole number n
if n==1 or n==0: return 1
else: return n*factorial(n-1)

def nCr(m,n): #returns the combination "m choose n"
if m<0 or n>m: return 0
return factorial(m)/(factorial(n)*factorial(m-n))

def chance(P,Q,D,N): #returns the probability of rolling at least N more successes than failures on D dice, with P chance of success and Q chance of failure
S=0
for X in range(N,D+1):
for Y in range(0,X-N+1):
S=S+nCr(D,X)*nCr(D-X,Y)*(P**X)*(Q**Y)*((1-P-Q)**(D-X-Y))
return S


In the case of "exploding 10s", we use a recursive formula in which we calculate the probability of getting X successes and Y rerolls, then multiplying that by the probability of getting X-N total successes if we roll again. We sum these probabilities over all possible combinations of X and Y.

Python code below


def factorial(n): #returns the factorial of whole number n
if n==1 or n==0: return 1
else: return n*factorial(n-1)

def nCr(m,n): #returns the combination "m choose n"
if m<0 or n>m: return 0
return factorial(m)/(factorial(n)*factorial(m-n))

def chance(P,R,D,N): #returns the probability of rolling at least N succcesses, where there is a subset of the successes with size R that results in another roll
if N<=0: return 1 #if no more successes are needed, we're done
elif N>D==0: return 0 #if no more dice are available to roll, we have no chance to succeed
else:
S=0
for X in range(1,D+1):
for Y in range(0,X+1):
S=S+(nCr(D,X)*(P**X)*(1-P)**(D-X))*(nCr(X,Y)*((R/P)**Y)*((1-R/P)**(X-Y)))*chance(P,R,Y,N-X)
return S


Finally, if we wish to combine both situations, we have a recursive formula where we find the probability of getting X successes including Y rerolls and Z failures, and then multiplying that by the probability of getting N-X+Z total successes when we roll the Y dice. We sum over all possible X, Y, and Z. This situation assumes that players are forced to reroll, even if they have gotten to the requisite number of successes.

Python code below


def factorial(n): #returns the factorial of whole number n
if n==1 or n==0: return 1
else: return n*factorial(n-1)

def nCr(m,n): #returns the combination "m choose n"
if m<0 or n>m: return 0
return factorial(m)/(factorial(n)*factorial(m-n))

def chance(P,Q,R,D,N): #returns the probability of rolling at least N succcesses, where there is a subset of the successes with size R that results in another roll, and every roll has a chance Q of being a failure which subtracts one success
if N<-D: return 1 #if there is no chance that we will roll enough failures to fail completely, we're done
elif N>D==0: return 0 #if no more dice are available to roll, we have no chance to succeed
elif N==D==0: return 1 #if there are no dice to be rolled but we have the successes we need, we're done
else:
S=0
for X in range(1,D+1):
for Y in range(0,X+1):
for Z in range(0,D-X+1):
S=S+(nCr(D,X)*(P**X)*(1-P)**(D-X))*(nCr(X,Y)*((R/P)**Y)*((1-R/P)**(X-Y)))*(nCr(D-X,Z)*((Q/(1-P))**Z)*((1-Q/(1-P))**(D-X-Z)))*chance(P,Q,R,Y,N-X+Z)
return S


Below I've included the code for a Python module I wrote to handle all of these situations. The commenting should be self-explanitory. A little later, hopefully I will be able to make some tables or give you a simple formula to approximate the conversion.

Python module DPtoPercent.py


"""A Python module to convert form Dice Pool systems to percentages"""
"""By William Taylor, a.k.a. Bakkan"""

def factorial(n): #returns the factorial of whole number n
if n==1 or n==0: return 1
else: return n*factorial(n-1)

def nCr(m,n): #returns the combination "m choose n"
if m<0 or n>m: return 0
return factorial(m)/(factorial(n)*factorial(m-n))

def b(p,x,n): #returns the probability of getting exactly n successes in x trials, where each trial has a probability p of success
if n<=0: return 1
elif p==0 or n>x: return 0
else: return nCr(x,n)*(p**n)*((1-p)**(x-n))

def chance(P_Success, P_Reroll, P_Failure, Dice_Pool, Successes_Needed, Force_Roll=False):
"""Returns the percentage chance of rolling a total of Successes_Needed successes, where each roll has a P_Success chance of success, a P_Failure chance
to fail and count against the number of successes, a P_Reroll chance of being rerolled. Dice_Pool gives the total number of dice we roll at the
start of rolling. Set Force_Roll to True if a player is required to keep rolling even if he has the requisite number of successes (and risk
rolling a failure). Any reroll must be a success, so P_Reroll<=P_Success. A roll cannot be both a success and a failure, so
P_Failure+P_Success <= 1."""
if P_Reroll>P_Success: raise Exception, "The Reroll chance must be no greater than the Success chance"
elif P_Success+P_Failure>1: raise Exception, "The chance of success plus the chance of failure must be less than or equal to 1"

if (Force_Roll==False or Dice_Pool==0) and Successes_Needed==0: return 1
#we already have all our successes and don't need to reroll any of our dice
elif Successes_Needed < -1*Dice_Pool: return 1 #there is no chance that we will roll enough failures to fail completely
elif Successes_Needed > Dice_Pool == 0: return 0 #we need more successes but have no dice to roll to get there
else:
S=0
for X in range(1,Dice_Pool+1):
for Y in range(X+1):
for Z in range(Dice_Pool-X+1):
S=S+b(P_Success,Dice_Pool,X)*b(P_Reroll/P_Success,X,Y)*b(P_Failure/(1-P_Success),Dice_Pool-X,Z)*chance(P_Success,P_Failure,P_Reroll,Y,Success es_Needed-X+Z,Force_Roll)
return S


A sample output, showing the probabilities of rolling between 1 and 12 successes with a dice pool of 10, a success rate of 40%, a reroll rate of 10%, a failure rate of 10%, and no forced rerolling, is given below.



>>> for i in range(1,13):
print "Probability of",i,"successes is: ",DPtoPercent.chance(.4,.1,.1,10,i)

Probability of 1 successes is: 0.831566365155
Probability of 2 successes is: 0.714333331084
Probability of 3 successes is: 0.57306251629
Probability of 4 successes is: 0.422081656954
Probability of 5 successes is: 0.2789537202
Probability of 6 successes is: 0.161580284709
Probability of 7 successes is: 0.0806977432889
Probability of 8 successes is: 0.0346299820971
Probability of 9 successes is: 0.0129068902332
Probability of 10 successes is: 0.00425978415858
Probability of 11 successes is: 0.00126611968196
Probability of 12 successes is: 0.000341889444394


A similar sample output in which the roller is forced to keep rolling if he can even if he gets his required successes.



>>> for i in range(1,13):
print "Probability of",i,"successes is: ",DPtoPercent.chance(.4,.1,.1,10,i,True)


Probability of 1 successes is: 0.793064699016
Probability of 2 successes is: 0.651070432193
Probability of 3 successes is: 0.491823569232
Probability of 4 successes is: 0.340519254742
Probability of 5 successes is: 0.214929547494
Probability of 6 successes is: 0.122180082035
Probability of 7 successes is: 0.0614502221281
Probability of 8 successes is: 0.026898567954
Probability of 9 successes is: 0.0101793359532
Probability of 10 successes is: 0.00335952879419
Probability of 11 successes is: 0.000988984973292
Probability of 12 successes is: 0.000266053937802

kestrel404
2010-10-19, 08:45 AM
To answer your root question, make a chart.

In any given chart, you will get the following information:
For a given difficulty and a given dice pool, the chart will tell you the %chances of each possible outcome - for example with a dice pool of 3, there is a possibility of botch, 0, 1, 2 or 3 successes (the chance of a botch may be 0 depending on the rules for that table). Each of these percentages should be cumulative, so for example if there is an overall 10% chance of a botch, 40% chance of no successes, 25%, 15% and 10% chance of 1, 2 or 3 successes respectively, you should notate that as: 10/50/75/90. Thus, rolling a 10 or less on d% will get you a botch, rolling a 11-50 gets you no successes, rolling a 51-75 or gets 1, 76-90 gets 2 and 91+ gets 3. If you're going with 00 = 0 instead of 100, then subtract 1 from all of those numbers.

You then have to make up a seperate chart for each set of rules (because making 4 dimensional charts is really confusing).

I leave the actual calculation of the numbers to those who are good at that sort of thing, but logistically this is the fastest way to go about it.

HOWEVER! I strongly recommend that you just choose a different mechanic. Because all of the table-lookups is going to be annoying as heck (even if it's the fastest way).

Skorj
2010-10-19, 11:51 AM
This is why I don't play dice pool systems. :smallmad: Imagine working this out in your head in order to set a task that the player had a 30% chance of succeeding at!

Bakkan
2010-10-19, 04:59 PM
TABLES!!!

When no rerolls or failures are in play:

Percent chance of Success (rounded down) when a 2 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 99 | 81 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 99 | 97 | 72 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 99 | 99 | 94 | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 99 | 99 | 99 | 91 | 59 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 99 | 99 | 99 | 98 | 88 | 53 | 0 | 0 | 0 | 0 | 0 | 0

7 | 99 | 99 | 99 | 99 | 97 | 85 | 47 | 0 | 0 | 0 | 0 | 0

8 | 99 | 99 | 99 | 99 | 99 | 96 | 81 | 43 | 0 | 0 | 0 | 0

9 | 99 | 99 | 99 | 99 | 99 | 99 | 94 | 77 | 38 | 0 | 0 | 0

10 | 99 | 99 | 99 | 99 | 99 | 99 | 98 | 92 | 73 | 34 | 0 | 0

11 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 98 | 91 | 69 | 31 | 0

12 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 97 | 88 | 65 | 28

[/table]


Percent chance of Success (rounded down) when a 3 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 80 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 96 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 99 | 89 | 51 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 99 | 97 | 81 | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 99 | 99 | 94 | 73 | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 99 | 99 | 98 | 90 | 65 | 26 | 0 | 0 | 0 | 0 | 0 | 0

7 | 99 | 99 | 99 | 96 | 85 | 57 | 20 | 0 | 0 | 0 | 0 | 0

8 | 99 | 99 | 99 | 98 | 94 | 79 | 50 | 16 | 0 | 0 | 0 | 0

9 | 99 | 99 | 99 | 99 | 98 | 91 | 73 | 43 | 13 | 0 | 0 | 0

10 | 99 | 99 | 99 | 99 | 99 | 96 | 87 | 67 | 37 | 10 | 0 | 0

11 | 99 | 99 | 99 | 99 | 99 | 98 | 94 | 83 | 61 | 32 | 8 | 0

12 | 99 | 99 | 99 | 99 | 99 | 99 | 98 | 92 | 79 | 55 | 27 | 6

[/table]


Percent chance of Success (rounded down) when a 4 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 70 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 90 | 48 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 97 | 78 | 34 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 99 | 91 | 65 | 24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 99 | 96 | 83 | 52 | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 99 | 98 | 92 | 74 | 42 | 11 | 0 | 0 | 0 | 0 | 0 | 0

7 | 99 | 99 | 97 | 87 | 64 | 32 | 8 | 0 | 0 | 0 | 0 | 0

8 | 99 | 99 | 98 | 94 | 80 | 55 | 25 | 5 | 0 | 0 | 0 | 0

9 | 99 | 99 | 99 | 97 | 90 | 72 | 46 | 19 | 4 | 0 | 0 | 0

10 | 99 | 99 | 99 | 98 | 95 | 84 | 64 | 38 | 14 | 2 | 0 | 0

11 | 99 | 99 | 99 | 99 | 97 | 92 | 78 | 56 | 31 | 11 | 1 | 0

12 | 99 | 99 | 99 | 99 | 99 | 96 | 88 | 72 | 49 | 25 | 8 | 1

[/table]


Percent chance of Success (rounded down) when a 5 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 60 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 84 | 36 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 93 | 64 | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 97 | 82 | 47 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 98 | 91 | 68 | 33 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 99 | 95 | 82 | 54 | 23 | 4 | 0 | 0 | 0 | 0 | 0 | 0

7 | 99 | 98 | 90 | 71 | 41 | 15 | 2 | 0 | 0 | 0 | 0 | 0

8 | 99 | 99 | 95 | 82 | 59 | 31 | 10 | 1 | 0 | 0 | 0 | 0

9 | 99 | 99 | 97 | 90 | 73 | 48 | 23 | 7 | 1 | 0 | 0 | 0

10 | 99 | 99 | 98 | 94 | 83 | 63 | 38 | 16 | 4 | 0 | 0 | 0

11 | 99 | 99 | 99 | 97 | 90 | 75 | 53 | 29 | 11 | 3 | 0 | 0

12 | 99 | 99 | 99 | 98 | 94 | 84 | 66 | 43 | 22 | 8 | 1 | 0

[/table]


Percent chance of Success (rounded down) when a 6 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 50 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 75 | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 87 | 50 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 93 | 68 | 31 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 96 | 81 | 50 | 18 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 98 | 89 | 65 | 34 | 10 | 1 | 0 | 0 | 0 | 0 | 0 | 0

7 | 99 | 93 | 77 | 50 | 22 | 6 | 0 | 0 | 0 | 0 | 0 | 0

8 | 99 | 96 | 85 | 63 | 36 | 14 | 3 | 0 | 0 | 0 | 0 | 0

9 | 99 | 98 | 91 | 74 | 50 | 25 | 8 | 1 | 0 | 0 | 0 | 0

10 | 99 | 98 | 94 | 82 | 62 | 37 | 17 | 5 | 1 | 0 | 0 | 0

11 | 99 | 99 | 96 | 88 | 72 | 50 | 27 | 11 | 3 | 0 | 0 | 0

12 | 99 | 99 | 98 | 92 | 80 | 61 | 38 | 19 | 7 | 1 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 7 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 64 | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 78 | 35 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 87 | 52 | 17 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 92 | 66 | 31 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 95 | 76 | 45 | 17 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 97 | 84 | 58 | 28 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0

8 | 98 | 89 | 68 | 40 | 17 | 4 | 0 | 0 | 0 | 0 | 0 | 0

9 | 98 | 92 | 76 | 51 | 26 | 9 | 2 | 0 | 0 | 0 | 0 | 0

10 | 99 | 95 | 83 | 61 | 36 | 16 | 5 | 1 | 0 | 0 | 0 | 0

11 | 99 | 96 | 88 | 70 | 46 | 24 | 9 | 2 | 0 | 0 | 0 | 0

12 | 99 | 98 | 91 | 77 | 56 | 33 | 15 | 5 | 1 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 8 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 30 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 51 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 65 | 21 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 75 | 34 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 83 | 47 | 16 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 88 | 57 | 25 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 91 | 67 | 35 | 12 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 94 | 74 | 44 | 19 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0

9 | 95 | 80 | 53 | 27 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0

10 | 97 | 85 | 61 | 35 | 15 | 4 | 1 | 0 | 0 | 0 | 0 | 0

11 | 98 | 88 | 68 | 43 | 21 | 7 | 2 | 0 | 0 | 0 | 0 | 0

12 | 98 | 91 | 74 | 50 | 27 | 11 | 3 | 0 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 9 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 20 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 36 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 48 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 59 | 18 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 67 | 26 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 73 | 34 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 79 | 42 | 14 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 83 | 49 | 20 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 86 | 56 | 26 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 89 | 62 | 32 | 12 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 91 | 67 | 38 | 16 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0

12 | 93 | 72 | 44 | 20 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 10 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 19 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 27 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 34 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 40 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 46 | 11 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 52 | 14 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 56 | 18 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 61 | 22 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 65 | 26 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 68 | 30 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 71 | 34 | 11 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

[/table]




When roller rerolls on a 10 but is not forced to keep rerolling if he doesn't wish to:

Percent chance of Success (rounded down) when a 2 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 89 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 97 | 82 | 15 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 99 | 95 | 77 | 20 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 99 | 98 | 93 | 73 | 24 | 5 | 1 | 0 | 0 | 0 | 0 | 0

5 | 99 | 99 | 98 | 91 | 70 | 26 | 7 | 1 | 0 | 0 | 0 | 0

6 | 99 | 99 | 99 | 97 | 89 | 68 | 28 | 8 | 2 | 0 | 0 | 0

7 | 99 | 99 | 99 | 99 | 96 | 88 | 66 | 30 | 10 | 2 | 0 | 0

8 | 99 | 99 | 99 | 99 | 99 | 95 | 86 | 65 | 32 | 11 | 3 | 0

9 | 99 | 99 | 99 | 99 | 99 | 98 | 95 | 85 | 64 | 33 | 13 | 4

10 | 99 | 99 | 99 | 99 | 99 | 99 | 98 | 94 | 84 | 63 | 34 | 14

11 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 98 | 93 | 83 | 62 | 34

12 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 97 | 93 | 82 | 61

[/table]


Percent chance of Success (rounded down) when a 3 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 80 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 93 | 67 | 12 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 97 | 87 | 58 | 14 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 99 | 94 | 81 | 52 | 16 | 3 | 0 | 0 | 0 | 0 | 0 | 0

5 | 99 | 98 | 92 | 76 | 47 | 16 | 4 | 0 | 0 | 0 | 0 | 0

6 | 99 | 99 | 96 | 89 | 72 | 44 | 17 | 4 | 1 | 0 | 0 | 0

7 | 99 | 99 | 98 | 95 | 86 | 68 | 41 | 17 | 5 | 1 | 0 | 0

8 | 99 | 99 | 99 | 97 | 93 | 83 | 64 | 38 | 16 | 5 | 1 | 0

9 | 99 | 99 | 99 | 99 | 96 | 91 | 80 | 60 | 36 | 16 | 6 | 1

10 | 99 | 99 | 99 | 99 | 98 | 95 | 89 | 77 | 57 | 34 | 16 | 6

11 | 99 | 99 | 99 | 99 | 99 | 98 | 94 | 87 | 74 | 54 | 33 | 15

12 | 99 | 99 | 99 | 99 | 99 | 99 | 97 | 93 | 85 | 71 | 52 | 31

[/table]


Percent chance of Success (rounded down) when a 4 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 70 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 87 | 53 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 93 | 76 | 42 | 10 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 96 | 88 | 67 | 35 | 10 | 2 | 0 | 0 | 0 | 0 | 0 | 0

5 | 98 | 93 | 81 | 59 | 30 | 9 | 2 | 0 | 0 | 0 | 0 | 0

6 | 99 | 96 | 89 | 75 | 52 | 26 | 9 | 2 | 0 | 0 | 0 | 0

7 | 99 | 98 | 94 | 85 | 69 | 46 | 23 | 8 | 2 | 0 | 0 | 0

8 | 99 | 99 | 97 | 91 | 81 | 63 | 41 | 20 | 8 | 2 | 0 | 0

9 | 99 | 99 | 98 | 95 | 88 | 76 | 58 | 37 | 18 | 7 | 2 | 0

10 | 99 | 99 | 99 | 97 | 93 | 85 | 71 | 53 | 33 | 16 | 6 | 2

11 | 99 | 99 | 99 | 98 | 96 | 90 | 81 | 67 | 48 | 29 | 15 | 6

12 | 99 | 99 | 99 | 99 | 97 | 94 | 88 | 77 | 62 | 44 | 27 | 13

[/table]


Percent chance of Success (rounded down) when a 5 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 60 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 79 | 40 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 88 | 64 | 30 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 93 | 78 | 51 | 23 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0

5 | 95 | 86 | 67 | 42 | 18 | 5 | 1 | 0 | 0 | 0 | 0 | 0

6 | 97 | 91 | 78 | 58 | 34 | 14 | 4 | 1 | 0 | 0 | 0 | 0

7 | 98 | 94 | 86 | 71 | 50 | 28 | 12 | 4 | 1 | 0 | 0 | 0

8 | 99 | 96 | 90 | 80 | 63 | 42 | 23 | 10 | 3 | 1 | 0 | 0

9 | 99 | 98 | 94 | 86 | 73 | 56 | 36 | 19 | 8 | 3 | 0 | 0

10 | 99 | 98 | 96 | 90 | 81 | 67 | 49 | 31 | 16 | 7 | 2 | 0

11 | 99 | 99 | 97 | 94 | 87 | 76 | 61 | 43 | 26 | 13 | 5 | 2

12 | 99 | 99 | 98 | 96 | 91 | 82 | 70 | 55 | 37 | 22 | 11 | 4

[/table]


Percent chance of Success (rounded down) when a 6 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 50 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 70 | 30 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 80 | 51 | 19 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 86 | 65 | 37 | 13 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 90 | 75 | 52 | 27 | 10 | 2 | 0 | 0 | 0 | 0 | 0 | 0

6 | 93 | 82 | 63 | 40 | 20 | 7 | 2 | 0 | 0 | 0 | 0 | 0

7 | 95 | 87 | 72 | 53 | 31 | 14 | 5 | 1 | 0 | 0 | 0 | 0

8 | 97 | 90 | 79 | 63 | 43 | 24 | 11 | 4 | 1 | 0 | 0 | 0

9 | 98 | 93 | 84 | 71 | 54 | 35 | 19 | 8 | 3 | 1 | 0 | 0

10 | 98 | 95 | 88 | 77 | 63 | 45 | 28 | 14 | 6 | 2 | 0 | 0

11 | 99 | 96 | 91 | 83 | 70 | 55 | 38 | 22 | 11 | 4 | 1 | 0

12 | 99 | 97 | 93 | 87 | 76 | 63 | 47 | 31 | 17 | 8 | 3 | 1

[/table]


Percent chance of Success (rounded down) when a 7 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 40 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 60 | 20 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 70 | 37 | 12 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 77 | 50 | 23 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 82 | 61 | 35 | 15 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

6 | 85 | 68 | 46 | 24 | 10 | 3 | 0 | 0 | 0 | 0 | 0 | 0

7 | 88 | 74 | 55 | 34 | 17 | 6 | 2 | 0 | 0 | 0 | 0 | 0

8 | 91 | 79 | 63 | 43 | 25 | 11 | 4 | 1 | 0 | 0 | 0 | 0

9 | 93 | 83 | 69 | 51 | 33 | 17 | 7 | 2 | 0 | 0 | 0 | 0

10 | 94 | 86 | 74 | 58 | 41 | 25 | 12 | 5 | 2 | 0 | 0 | 0

11 | 96 | 89 | 78 | 65 | 49 | 32 | 18 | 8 | 3 | 1 | 0 | 0

12 | 97 | 91 | 82 | 70 | 55 | 39 | 24 | 13 | 6 | 2 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 8 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 30 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 47 | 13 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 58 | 24 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 65 | 35 | 13 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 70 | 44 | 21 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 73 | 51 | 28 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

7 | 77 | 57 | 36 | 18 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0

8 | 79 | 62 | 43 | 24 | 11 | 4 | 1 | 0 | 0 | 0 | 0 | 0

9 | 82 | 66 | 49 | 30 | 15 | 6 | 2 | 0 | 0 | 0 | 0 | 0

10 | 84 | 70 | 54 | 36 | 21 | 10 | 4 | 1 | 0 | 0 | 0 | 0

11 | 86 | 73 | 58 | 42 | 26 | 14 | 6 | 2 | 0 | 0 | 0 | 0

12 | 88 | 76 | 62 | 47 | 32 | 18 | 9 | 3 | 1 | 0 | 0 | 0
[/table]


Percent chance of Success (rounded down) when a 9 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 20 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 33 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 43 | 13 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 49 | 20 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 54 | 27 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 57 | 32 | 13 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 59 | 37 | 18 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 61 | 42 | 22 | 9 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 63 | 45 | 27 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

10 | 64 | 48 | 31 | 16 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0

11 | 66 | 51 | 35 | 19 | 9 | 3 | 1 | 0 | 0 | 0 | 0 | 0

12 | 67 | 53 | 38 | 23 | 11 | 4 | 1 | 0 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 10 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 10 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 18 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 24 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 30 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 34 | 10 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 37 | 13 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 40 | 16 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 42 | 19 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 43 | 22 | 8 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 44 | 25 | 10 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 44 | 27 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 45 | 30 | 13 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

[/table]




When roller rerolls on a 10 and is forced to keep rerolling even if he doesn't wish to:

Percent chance of Success (rounded down) when a 2 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 88 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 97 | 81 | 15 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 99 | 94 | 75 | 20 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 99 | 98 | 92 | 71 | 23 | 5 | 1 | 0 | 0 | 0 | 0 | 0

5 | 99 | 99 | 97 | 90 | 68 | 26 | 7 | 1 | 0 | 0 | 0 | 0

6 | 99 | 99 | 99 | 97 | 88 | 66 | 28 | 8 | 2 | 0 | 0 | 0

7 | 99 | 99 | 99 | 99 | 96 | 86 | 64 | 30 | 10 | 2 | 0 | 0

8 | 99 | 99 | 99 | 99 | 98 | 95 | 85 | 63 | 31 | 11 | 3 | 0

9 | 99 | 99 | 99 | 99 | 99 | 98 | 94 | 83 | 62 | 32 | 12 | 4

10 | 99 | 99 | 99 | 99 | 99 | 99 | 98 | 93 | 82 | 61 | 33 | 14

11 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 97 | 92 | 81 | 60 | 34

12 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 99 | 97 | 91 | 80 | 60

[/table]


Percent chance of Success (rounded down) when a 3 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 77 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 92 | 63 | 12 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 97 | 85 | 55 | 14 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 99 | 94 | 79 | 48 | 15 | 3 | 0 | 0 | 0 | 0 | 0 | 0

5 | 99 | 97 | 90 | 73 | 44 | 16 | 4 | 0 | 0 | 0 | 0 | 0

6 | 99 | 99 | 96 | 87 | 68 | 41 | 16 | 4 | 1 | 0 | 0 | 0

7 | 99 | 99 | 98 | 94 | 83 | 64 | 38 | 16 | 5 | 1 | 0 | 0

8 | 99 | 99 | 99 | 97 | 92 | 80 | 60 | 36 | 16 | 5 | 1 | 0

9 | 99 | 99 | 99 | 99 | 96 | 89 | 76 | 57 | 34 | 16 | 5 | 1

10 | 99 | 99 | 99 | 99 | 98 | 95 | 87 | 73 | 54 | 33 | 15 | 5

11 | 99 | 99 | 99 | 99 | 99 | 97 | 93 | 85 | 71 | 52 | 31 | 15

12 | 99 | 99 | 99 | 99 | 99 | 99 | 96 | 92 | 82 | 68 | 49 | 30

[/table]


Percent chance of Success (rounded down) when a 4 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 66 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 85 | 48 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 92 | 73 | 38 | 10 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 96 | 85 | 62 | 32 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0

5 | 98 | 92 | 78 | 54 | 27 | 9 | 2 | 0 | 0 | 0 | 0 | 0

6 | 99 | 96 | 87 | 71 | 47 | 24 | 8 | 2 | 0 | 0 | 0 | 0

7 | 99 | 98 | 93 | 82 | 64 | 42 | 21 | 8 | 2 | 0 | 0 | 0

8 | 99 | 99 | 96 | 89 | 77 | 58 | 37 | 19 | 7 | 2 | 0 | 0

9 | 99 | 99 | 98 | 94 | 86 | 72 | 53 | 33 | 17 | 7 | 2 | 0

10 | 99 | 99 | 99 | 97 | 91 | 81 | 67 | 49 | 30 | 15 | 6 | 2

11 | 99 | 99 | 99 | 98 | 95 | 88 | 77 | 62 | 45 | 27 | 14 | 6

12 | 99 | 99 | 99 | 99 | 97 | 93 | 85 | 73 | 58 | 41 | 25 | 12

[/table]


Percent chance of Success (rounded down) when a 5 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 55 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 76 | 35 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 86 | 58 | 25 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 91 | 73 | 45 | 19 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0

5 | 95 | 83 | 61 | 36 | 16 | 5 | 1 | 0 | 0 | 0 | 0 | 0

6 | 97 | 89 | 73 | 51 | 29 | 13 | 4 | 1 | 0 | 0 | 0 | 0

7 | 98 | 93 | 82 | 65 | 43 | 24 | 10 | 3 | 1 | 0 | 0 | 0

8 | 99 | 96 | 88 | 75 | 56 | 37 | 20 | 9 | 3 | 0 | 0 | 0

9 | 99 | 97 | 92 | 83 | 68 | 49 | 31 | 17 | 7 | 2 | 0 | 0

10 | 99 | 98 | 95 | 88 | 76 | 61 | 43 | 27 | 14 | 6 | 2 | 0

11 | 99 | 99 | 97 | 92 | 83 | 70 | 55 | 38 | 23 | 12 | 5 | 1

12 | 99 | 99 | 98 | 95 | 88 | 78 | 65 | 49 | 33 | 20 | 10 | 4

[/table]


Percent chance of Success (rounded down) when a 6 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 44 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 65 | 24 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 76 | 43 | 16 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 83 | 58 | 30 | 11 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 89 | 69 | 43 | 21 | 8 | 2 | 0 | 0 | 0 | 0 | 0 | 0

6 | 92 | 77 | 55 | 33 | 16 | 6 | 1 | 0 | 0 | 0 | 0 | 0

7 | 95 | 83 | 65 | 44 | 25 | 12 | 4 | 1 | 0 | 0 | 0 | 0

8 | 96 | 88 | 73 | 55 | 35 | 20 | 9 | 3 | 1 | 0 | 0 | 0

9 | 97 | 92 | 80 | 64 | 45 | 29 | 15 | 7 | 2 | 0 | 0 | 0

10 | 98 | 94 | 85 | 71 | 55 | 38 | 23 | 12 | 5 | 2 | 0 | 0

11 | 99 | 96 | 89 | 78 | 63 | 47 | 31 | 18 | 9 | 4 | 1 | 0

12 | 99 | 97 | 92 | 83 | 70 | 55 | 40 | 26 | 15 | 7 | 3 | 1

[/table]


Percent chance of Success (rounded down) when a 7 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 33 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 52 | 15 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 63 | 28 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 71 | 40 | 17 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 78 | 51 | 26 | 11 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 82 | 59 | 35 | 18 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0

7 | 86 | 67 | 44 | 25 | 12 | 5 | 1 | 0 | 0 | 0 | 0 | 0

8 | 89 | 73 | 52 | 33 | 18 | 8 | 3 | 1 | 0 | 0 | 0 | 0

9 | 92 | 78 | 60 | 41 | 25 | 13 | 6 | 2 | 0 | 0 | 0 | 0

10 | 94 | 83 | 66 | 48 | 31 | 18 | 9 | 4 | 1 | 0 | 0 | 0

11 | 95 | 86 | 72 | 55 | 38 | 24 | 14 | 6 | 2 | 1 | 0 | 0

12 | 96 | 89 | 77 | 61 | 45 | 31 | 19 | 10 | 4 | 2 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 8 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 22 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 36 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 47 | 15 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 54 | 23 | 8 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 60 | 31 | 13 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 66 | 37 | 18 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 70 | 44 | 23 | 11 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

8 | 74 | 50 | 29 | 15 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0

9 | 78 | 55 | 34 | 19 | 10 | 4 | 1 | 0 | 0 | 0 | 0 | 0

10 | 81 | 60 | 40 | 24 | 13 | 6 | 2 | 0 | 0 | 0 | 0 | 0

11 | 84 | 65 | 45 | 29 | 17 | 9 | 4 | 1 | 0 | 0 | 0 | 0

12 | 86 | 69 | 50 | 33 | 21 | 12 | 6 | 2 | 1 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 9 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 11 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 19 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 26 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 31 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 36 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 39 | 15 | 5 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 43 | 18 | 7 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 46 | 22 | 10 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 49 | 25 | 12 | 5 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 52 | 28 | 14 | 7 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0

11 | 55 | 31 | 17 | 9 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

12 | 58 | 34 | 19 | 11 | 5 | 2 | 0 | 0 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 10 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 7 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 7 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
[/table]




When roller suffers a failure on a 1:

Percent chance of Success (rounded down) when a 2 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 81 | 81 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 97 | 72 | 72 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 94 | 94 | 65 | 65 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 99 | 91 | 91 | 59 | 59 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 98 | 98 | 88 | 88 | 53 | 53 | 0 | 0 | 0 | 0 | 0 | 0

7 | 99 | 97 | 97 | 85 | 85 | 47 | 47 | 0 | 0 | 0 | 0 | 0

8 | 99 | 99 | 96 | 96 | 81 | 81 | 43 | 43 | 0 | 0 | 0 | 0

9 | 99 | 99 | 99 | 94 | 94 | 77 | 77 | 38 | 38 | 0 | 0 | 0

10 | 99 | 99 | 98 | 98 | 92 | 92 | 73 | 73 | 34 | 34 | 0 | 0

11 | 99 | 99 | 99 | 98 | 98 | 91 | 91 | 69 | 69 | 31 | 31 | 0

12 | 99 | 99 | 99 | 99 | 97 | 97 | 88 | 88 | 65 | 65 | 28 | 28

[/table]


Percent chance of Success (rounded down) when a 3 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 80 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 80 | 64 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 92 | 70 | 51 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 93 | 85 | 61 | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 96 | 89 | 78 | 53 | 32 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 97 | 94 | 84 | 71 | 45 | 26 | 0 | 0 | 0 | 0 | 0 | 0

7 | 98 | 96 | 91 | 79 | 64 | 39 | 20 | 0 | 0 | 0 | 0 | 0

8 | 99 | 97 | 93 | 87 | 74 | 57 | 33 | 16 | 0 | 0 | 0 | 0

9 | 99 | 98 | 96 | 91 | 83 | 68 | 51 | 28 | 13 | 0 | 0 | 0

10 | 99 | 99 | 97 | 94 | 88 | 78 | 62 | 45 | 24 | 10 | 0 | 0

11 | 99 | 99 | 98 | 96 | 92 | 84 | 73 | 57 | 39 | 20 | 8 | 0

12 | 99 | 99 | 98 | 97 | 94 | 89 | 80 | 68 | 51 | 34 | 17 | 6
[/table]


Percent chance of Success (rounded down) when a 4 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 70 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 77 | 48 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 86 | 63 | 34 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 90 | 76 | 51 | 24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 94 | 84 | 66 | 40 | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 95 | 89 | 76 | 56 | 31 | 11 | 0 | 0 | 0 | 0 | 0 | 0

7 | 97 | 92 | 83 | 67 | 47 | 24 | 8 | 0 | 0 | 0 | 0 | 0

8 | 98 | 94 | 88 | 76 | 59 | 38 | 18 | 5 | 0 | 0 | 0 | 0

9 | 98 | 96 | 91 | 83 | 69 | 51 | 31 | 14 | 4 | 0 | 0 | 0

10 | 99 | 97 | 94 | 87 | 77 | 61 | 43 | 25 | 10 | 2 | 0 | 0

11 | 99 | 98 | 95 | 91 | 83 | 70 | 54 | 36 | 20 | 8 | 1 | 0

12 | 99 | 98 | 97 | 93 | 87 | 77 | 64 | 47 | 30 | 15 | 6 | 1

[/table]


Percent chance of Success (rounded down) when a 5 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 60 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 72 | 36 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 81 | 54 | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 86 | 66 | 38 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 90 | 75 | 53 | 27 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 92 | 82 | 64 | 40 | 18 | 4 | 0 | 0 | 0 | 0 | 0 | 0

7 | 94 | 86 | 72 | 52 | 30 | 12 | 2 | 0 | 0 | 0 | 0 | 0

8 | 95 | 90 | 79 | 62 | 41 | 22 | 8 | 1 | 0 | 0 | 0 | 0

9 | 96 | 92 | 83 | 70 | 52 | 32 | 16 | 5 | 1 | 0 | 0 | 0

10 | 97 | 94 | 87 | 76 | 61 | 42 | 25 | 11 | 3 | 0 | 0 | 0

11 | 98 | 95 | 90 | 81 | 68 | 52 | 34 | 18 | 8 | 2 | 0 | 0

12 | 98 | 96 | 92 | 85 | 74 | 60 | 43 | 27 | 13 | 5 | 1 | 0

[/table]


Percent chance of Success (rounded down) when a 6 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 50 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 65 | 25 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 74 | 42 | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 80 | 55 | 26 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 84 | 64 | 38 | 15 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 87 | 71 | 49 | 25 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0

7 | 90 | 77 | 58 | 36 | 16 | 5 | 0 | 0 | 0 | 0 | 0 | 0

8 | 92 | 81 | 65 | 45 | 25 | 10 | 2 | 0 | 0 | 0 | 0 | 0

9 | 93 | 85 | 71 | 53 | 33 | 17 | 6 | 1 | 0 | 0 | 0 | 0

10 | 94 | 88 | 76 | 60 | 41 | 24 | 11 | 3 | 0 | 0 | 0 | 0

11 | 95 | 90 | 80 | 66 | 49 | 31 | 17 | 7 | 2 | 0 | 0 | 0

12 | 96 | 92 | 84 | 72 | 56 | 39 | 23 | 11 | 4 | 1 | 0 | 0
[/table]


Percent chance of Success (rounded down) when a 7 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 56 | 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 65 | 30 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 71 | 41 | 15 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 76 | 51 | 24 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 79 | 58 | 33 | 13 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 82 | 64 | 41 | 20 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0

8 | 85 | 69 | 48 | 27 | 12 | 3 | 0 | 0 | 0 | 0 | 0 | 0

9 | 87 | 73 | 54 | 34 | 17 | 6 | 1 | 0 | 0 | 0 | 0 | 0

10 | 89 | 77 | 60 | 40 | 23 | 10 | 3 | 0 | 0 | 0 | 0 | 0

11 | 90 | 80 | 65 | 46 | 29 | 14 | 6 | 1 | 0 | 0 | 0 | 0

12 | 91 | 82 | 69 | 52 | 34 | 19 | 9 | 3 | 0 | 0 | 0 | 0
[/table]


Percent chance of Success (rounded down) when a 8 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 30 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 44 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 53 | 18 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 60 | 27 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 64 | 35 | 12 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 68 | 42 | 18 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 71 | 47 | 24 | 8 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 74 | 52 | 29 | 12 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 76 | 56 | 34 | 17 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0

10 | 78 | 60 | 39 | 21 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0

11 | 80 | 63 | 44 | 25 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0

12 | 82 | 66 | 48 | 29 | 15 | 6 | 2 | 0 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 9 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 20 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 32 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 39 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 45 | 14 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 49 | 19 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 52 | 23 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 55 | 28 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 57 | 31 | 12 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 59 | 34 | 15 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 61 | 38 | 18 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 63 | 40 | 21 | 8 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 64 | 43 | 23 | 10 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 10 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 17 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 22 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 25 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 28 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 30 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 32 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 33 | 10 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 34 | 12 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 35 | 13 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 36 | 14 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 36 | 15 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

[/table]




When roller rerolls on a 10 but is not forced to keep rerolling if he doesn't wish to and suffers a failure on a 1:

Percent chance of Success (rounded down) when a 2 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 89 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 81 | 81 | 15 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 97 | 75 | 73 | 19 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 94 | 94 | 71 | 67 | 22 | 5 | 1 | 0 | 0 | 0 | 0 | 0

5 | 99 | 92 | 92 | 67 | 61 | 23 | 6 | 1 | 0 | 0 | 0 | 0

6 | 98 | 98 | 90 | 89 | 65 | 57 | 24 | 7 | 1 | 0 | 0 | 0

7 | 99 | 97 | 97 | 88 | 86 | 62 | 53 | 25 | 8 | 2 | 0 | 0

8 | 99 | 99 | 96 | 96 | 86 | 83 | 60 | 49 | 25 | 9 | 2 | 0

9 | 99 | 99 | 99 | 96 | 95 | 84 | 80 | 58 | 47 | 24 | 10 | 3

10 | 99 | 99 | 98 | 98 | 95 | 93 | 82 | 77 | 57 | 44 | 24 | 10

11 | 99 | 99 | 99 | 98 | 98 | 94 | 92 | 80 | 75 | 55 | 42 | 24

12 | 99 | 99 | 99 | 99 | 98 | 97 | 93 | 90 | 79 | 72 | 53 | 40
[/table]


Percent chance of Success (rounded down) when a 3 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 80 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 78 | 65 | 12 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 91 | 71 | 55 | 14 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 93 | 86 | 64 | 47 | 14 | 3 | 0 | 0 | 0 | 0 | 0 | 0

5 | 96 | 89 | 80 | 59 | 41 | 14 | 3 | 0 | 0 | 0 | 0 | 0

6 | 97 | 94 | 85 | 75 | 54 | 36 | 14 | 4 | 1 | 0 | 0 | 0

7 | 98 | 96 | 91 | 82 | 69 | 50 | 32 | 13 | 4 | 1 | 0 | 0

8 | 99 | 97 | 94 | 88 | 78 | 65 | 46 | 29 | 13 | 4 | 1 | 0

9 | 99 | 98 | 96 | 92 | 85 | 74 | 60 | 42 | 26 | 12 | 4 | 1

10 | 99 | 99 | 97 | 95 | 90 | 82 | 70 | 56 | 39 | 24 | 11 | 4

11 | 99 | 99 | 98 | 96 | 93 | 87 | 79 | 66 | 52 | 36 | 22 | 11

12 | 99 | 99 | 99 | 97 | 95 | 91 | 85 | 75 | 63 | 49 | 33 | 20

[/table]


Percent chance of Success (rounded down) when a 4 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 70 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 74 | 51 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 85 | 63 | 40 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 89 | 76 | 54 | 32 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0

5 | 92 | 83 | 68 | 47 | 26 | 8 | 2 | 0 | 0 | 0 | 0 | 0

6 | 95 | 88 | 76 | 60 | 40 | 22 | 7 | 2 | 0 | 0 | 0 | 0

7 | 96 | 91 | 83 | 70 | 53 | 34 | 18 | 7 | 2 | 0 | 0 | 0

8 | 97 | 94 | 88 | 78 | 64 | 47 | 30 | 15 | 6 | 2 | 0 | 0

9 | 98 | 95 | 91 | 83 | 72 | 58 | 42 | 26 | 13 | 5 | 1 | 0

10 | 98 | 97 | 93 | 88 | 79 | 67 | 52 | 37 | 22 | 11 | 4 | 1

11 | 99 | 97 | 95 | 91 | 84 | 74 | 62 | 47 | 32 | 19 | 10 | 4

12 | 99 | 98 | 96 | 93 | 88 | 80 | 70 | 57 | 42 | 29 | 17 | 8
[/table]


Percent chance of Success (rounded down) when a 5 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 60 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 69 | 39 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 78 | 54 | 28 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 83 | 65 | 42 | 20 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0

5 | 87 | 74 | 55 | 33 | 15 | 4 | 1 | 0 | 0 | 0 | 0 | 0

6 | 90 | 80 | 64 | 45 | 26 | 12 | 3 | 1 | 0 | 0 | 0 | 0

7 | 92 | 84 | 72 | 55 | 37 | 21 | 9 | 3 | 0 | 0 | 0 | 0

8 | 94 | 88 | 78 | 64 | 47 | 31 | 17 | 7 | 2 | 0 | 0 | 0

9 | 95 | 90 | 82 | 71 | 56 | 40 | 25 | 13 | 5 | 2 | 0 | 0

10 | 96 | 92 | 86 | 76 | 64 | 49 | 34 | 20 | 10 | 4 | 1 | 0

11 | 97 | 94 | 89 | 81 | 70 | 57 | 42 | 28 | 17 | 8 | 3 | 1

12 | 97 | 95 | 91 | 85 | 76 | 64 | 50 | 37 | 24 | 14 | 7 | 3

[/table]


Percent chance of Success (rounded down) when a 6 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 50 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 61 | 29 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 69 | 43 | 18 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 75 | 54 | 30 | 12 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 80 | 62 | 41 | 21 | 8 | 2 | 0 | 0 | 0 | 0 | 0 | 0

6 | 83 | 68 | 50 | 31 | 15 | 5 | 1 | 0 | 0 | 0 | 0 | 0

7 | 86 | 74 | 57 | 40 | 23 | 11 | 4 | 1 | 0 | 0 | 0 | 0

8 | 88 | 78 | 64 | 47 | 31 | 17 | 8 | 3 | 0 | 0 | 0 | 0

9 | 90 | 81 | 69 | 54 | 38 | 24 | 13 | 5 | 2 | 0 | 0 | 0

10 | 92 | 84 | 74 | 60 | 46 | 31 | 18 | 9 | 4 | 1 | 0 | 0

11 | 93 | 87 | 78 | 66 | 52 | 38 | 24 | 14 | 7 | 3 | 1 | 0

12 | 94 | 89 | 81 | 70 | 58 | 44 | 31 | 19 | 10 | 5 | 2 | 0
[/table]


Percent chance of Success (rounded down) when a 7 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 40 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 52 | 20 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 60 | 32 | 11 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 65 | 41 | 20 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 69 | 48 | 28 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

6 | 73 | 54 | 35 | 18 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0

7 | 76 | 59 | 41 | 25 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0

8 | 78 | 64 | 47 | 31 | 17 | 8 | 3 | 1 | 0 | 0 | 0 | 0

9 | 81 | 68 | 52 | 36 | 22 | 11 | 5 | 2 | 0 | 0 | 0 | 0

10 | 83 | 71 | 57 | 42 | 27 | 16 | 8 | 3 | 1 | 0 | 0 | 0

11 | 84 | 74 | 61 | 47 | 32 | 20 | 11 | 5 | 2 | 0 | 0 | 0

12 | 86 | 76 | 65 | 51 | 37 | 25 | 14 | 7 | 3 | 1 | 0 | 0
[/table]


Percent chance of Success (rounded down) when a 8 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 30 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 42 | 12 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 48 | 21 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 53 | 28 | 11 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 56 | 34 | 16 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 59 | 39 | 21 | 9 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 62 | 43 | 26 | 12 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0

8 | 64 | 47 | 30 | 16 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0

9 | 66 | 50 | 34 | 20 | 10 | 4 | 1 | 0 | 0 | 0 | 0 | 0

10 | 68 | 53 | 37 | 23 | 13 | 6 | 2 | 0 | 0 | 0 | 0 | 0

11 | 70 | 55 | 41 | 27 | 16 | 8 | 3 | 1 | 0 | 0 | 0 | 0

12 | 71 | 58 | 44 | 30 | 19 | 10 | 5 | 2 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 9 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 20 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 30 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 35 | 11 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 38 | 16 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 41 | 20 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 42 | 23 | 9 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 44 | 26 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 45 | 28 | 14 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 46 | 30 | 17 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 47 | 32 | 19 | 9 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0

11 | 48 | 34 | 21 | 11 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

12 | 49 | 35 | 23 | 12 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0

[/table]


Percent chance of Success (rounded down) when a 10 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 10 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 16 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 20 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 22 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 24 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 25 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 26 | 10 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 26 | 11 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 26 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 26 | 13 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 26 | 14 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 26 | 15 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

[/table]




Last table put me over the limit, so next post.

Bakkan
2010-10-19, 05:00 PM
When roller rerolls on a 10 and is forced to keep rerolling even if he doesn't wish to and suffers a failure on a 1:

Percent chance of Success (rounded down) when a 2 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 88 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 81 | 79 | 15 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 96 | 75 | 71 | 19 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 94 | 94 | 71 | 64 | 21 | 5 | 1 | 0 | 0 | 0 | 0 | 0

5 | 98 | 92 | 91 | 67 | 59 | 23 | 6 | 1 | 0 | 0 | 0 | 0

6 | 98 | 98 | 90 | 87 | 65 | 54 | 24 | 7 | 1 | 0 | 0 | 0

7 | 99 | 97 | 97 | 88 | 84 | 62 | 50 | 24 | 8 | 2 | 0 | 0

8 | 99 | 99 | 96 | 95 | 86 | 81 | 60 | 47 | 24 | 9 | 2 | 0

9 | 99 | 99 | 99 | 96 | 94 | 84 | 78 | 58 | 45 | 24 | 10 | 3

10 | 99 | 99 | 98 | 98 | 95 | 93 | 82 | 75 | 56 | 42 | 24 | 10

11 | 99 | 99 | 99 | 98 | 98 | 94 | 91 | 80 | 73 | 55 | 41 | 23

12 | 99 | 99 | 99 | 99 | 98 | 97 | 92 | 89 | 79 | 70 | 53 | 39
[/table]


Percent chance of Success (rounded down) when a 3 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 77 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 78 | 62 | 11 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 90 | 70 | 51 | 13 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 92 | 84 | 63 | 44 | 14 | 3 | 0 | 0 | 0 | 0 | 0 | 0

5 | 96 | 88 | 78 | 57 | 38 | 14 | 3 | 0 | 0 | 0 | 0 | 0

6 | 97 | 93 | 84 | 72 | 52 | 34 | 14 | 4 | 1 | 0 | 0 | 0

7 | 98 | 95 | 90 | 80 | 67 | 48 | 30 | 13 | 4 | 1 | 0 | 0

8 | 98 | 97 | 93 | 87 | 76 | 62 | 44 | 27 | 12 | 4 | 1 | 0

9 | 99 | 98 | 95 | 91 | 84 | 72 | 58 | 40 | 25 | 12 | 4 | 1

10 | 99 | 98 | 97 | 94 | 89 | 80 | 68 | 54 | 37 | 23 | 11 | 4

11 | 99 | 99 | 98 | 96 | 92 | 86 | 77 | 64 | 50 | 34 | 21 | 10

12 | 99 | 99 | 98 | 97 | 94 | 90 | 83 | 74 | 61 | 47 | 32 | 19

[/table]


Percent chance of Success (rounded down) when a 4 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 66 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 73 | 47 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 83 | 61 | 36 | 9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 88 | 73 | 51 | 28 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0

5 | 91 | 81 | 64 | 43 | 23 | 8 | 2 | 0 | 0 | 0 | 0 | 0

6 | 94 | 86 | 74 | 56 | 37 | 19 | 7 | 2 | 0 | 0 | 0 | 0

7 | 95 | 90 | 81 | 67 | 50 | 31 | 16 | 6 | 2 | 0 | 0 | 0

8 | 97 | 93 | 86 | 75 | 60 | 44 | 27 | 14 | 5 | 1 | 0 | 0

9 | 97 | 95 | 90 | 81 | 69 | 54 | 38 | 23 | 12 | 5 | 1 | 0

10 | 98 | 96 | 92 | 86 | 76 | 64 | 49 | 34 | 20 | 10 | 4 | 1

11 | 98 | 97 | 94 | 90 | 82 | 72 | 58 | 44 | 30 | 18 | 9 | 4

12 | 99 | 98 | 96 | 92 | 86 | 78 | 67 | 54 | 40 | 26 | 16 | 8

[/table]


Percent chance of Success (rounded down) when a 5 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 55 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 66 | 34 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 75 | 50 | 24 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 81 | 61 | 38 | 17 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0

5 | 85 | 70 | 50 | 29 | 13 | 4 | 1 | 0 | 0 | 0 | 0 | 0

6 | 89 | 77 | 60 | 40 | 23 | 10 | 3 | 0 | 0 | 0 | 0 | 0

7 | 91 | 82 | 68 | 50 | 33 | 18 | 8 | 2 | 0 | 0 | 0 | 0

8 | 93 | 86 | 74 | 59 | 42 | 27 | 14 | 6 | 2 | 0 | 0 | 0

9 | 94 | 89 | 79 | 67 | 51 | 36 | 22 | 11 | 5 | 1 | 0 | 0

10 | 96 | 91 | 83 | 73 | 59 | 44 | 30 | 18 | 9 | 4 | 1 | 0

11 | 96 | 93 | 87 | 78 | 66 | 52 | 38 | 25 | 15 | 7 | 3 | 1

12 | 97 | 94 | 89 | 82 | 72 | 60 | 46 | 33 | 21 | 12 | 6 | 2

[/table]


Percent chance of Success (rounded down) when a 6 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 44 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 57 | 23 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 65 | 37 | 14 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 71 | 48 | 25 | 9 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 76 | 56 | 35 | 17 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0

6 | 80 | 63 | 43 | 25 | 12 | 4 | 1 | 0 | 0 | 0 | 0 | 0

7 | 83 | 69 | 51 | 33 | 19 | 9 | 3 | 1 | 0 | 0 | 0 | 0

8 | 86 | 74 | 58 | 41 | 26 | 14 | 6 | 2 | 0 | 0 | 0 | 0

9 | 88 | 78 | 64 | 48 | 33 | 20 | 10 | 4 | 1 | 0 | 0 | 0

10 | 90 | 81 | 69 | 54 | 39 | 26 | 15 | 8 | 3 | 1 | 0 | 0

11 | 91 | 84 | 73 | 60 | 46 | 32 | 20 | 11 | 6 | 2 | 1 | 0

12 | 93 | 86 | 77 | 65 | 52 | 38 | 26 | 16 | 9 | 4 | 1 | 0

[/table]


Percent chance of Success (rounded down) when a 7 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 33 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 46 | 15 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 53 | 25 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 59 | 33 | 14 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 63 | 40 | 21 | 9 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 67 | 46 | 27 | 13 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0

7 | 71 | 52 | 33 | 18 | 9 | 3 | 1 | 0 | 0 | 0 | 0 | 0

8 | 74 | 56 | 39 | 23 | 12 | 6 | 2 | 0 | 0 | 0 | 0 | 0

9 | 76 | 61 | 44 | 29 | 17 | 8 | 4 | 1 | 0 | 0 | 0 | 0

10 | 79 | 65 | 49 | 34 | 21 | 12 | 6 | 2 | 1 | 0 | 0 | 0

11 | 81 | 68 | 53 | 38 | 25 | 15 | 8 | 4 | 1 | 0 | 0 | 0

12 | 83 | 71 | 57 | 43 | 30 | 19 | 11 | 6 | 2 | 1 | 0 | 0
[/table]


Percent chance of Success (rounded down) when a 8 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 22 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 32 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 39 | 13 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 43 | 19 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 47 | 23 | 10 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 50 | 28 | 13 | 5 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 53 | 32 | 17 | 8 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0

8 | 55 | 35 | 20 | 10 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0

9 | 58 | 39 | 23 | 13 | 6 | 2 | 1 | 0 | 0 | 0 | 0 | 0

10 | 60 | 42 | 27 | 15 | 8 | 3 | 1 | 0 | 0 | 0 | 0 | 0

11 | 62 | 45 | 30 | 18 | 10 | 5 | 2 | 0 | 0 | 0 | 0 | 0

12 | 64 | 48 | 33 | 21 | 12 | 6 | 3 | 1 | 0 | 0 | 0 | 0

[/table]

Percent chance of Success (rounded down) when a 9 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 11 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 17 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 21 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 24 | 7 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 26 | 9 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 27 | 11 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 29 | 12 | 5 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 30 | 14 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 31 | 16 | 7 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 32 | 17 | 9 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 34 | 19 | 10 | 5 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 35 | 20 | 11 | 6 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0

[/table]

Percent chance of Success (rounded down) when a 10 is needed for a success.
{table="head"] Dice Pool | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12

1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

5 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

6 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

7 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

8 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

9 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

10 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

11 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

12 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0

[/table]


I am pretty sure my math is good, but if something doesn't look right, let me know.

Actually something is wrong with my math, I'll let you know when I have it fixed.

Attilargh
2010-10-19, 05:56 PM
This is why I don't play dice pool systems. :smallmad: Imagine working this out in your head in order to set a task that the player had a 30% chance of succeeding at!
Use the new World of Darkness, give the player one die. Boom, instant 1:3 chance of success.

Or so people keep telling me. I'm not good enough with maths to prove or disprove this.

Knaight
2010-10-19, 07:14 PM
This is why I don't play dice pool systems. :smallmad: Imagine working this out in your head in order to set a task that the player had a 30% chance of succeeding at!

This particular dice pool system is more complex than many. Besides, they are usually built with a guiding philosophy that involves a lot less "set a task that the [character] has a 30% chance of succeeding at!" and a lot more "here are the difficulties of various tasks, let the characters interact with them."

Dilb
2010-10-19, 11:24 PM
This particular dice pool system is more complex than many. Besides, they are usually built with a guiding philosophy that involves a lot less "set a task that the [character] has a 30% chance of succeeding at!" and a lot more "here are the difficulties of various tasks, let the characters interact with them."

If you look at Bakkan's awesome tables though, you can see the obvious problem with this. It's extremely hard to even guess if something is possible or not, because you need to try and estimate the numbers depending on the difficulty, the successes needed, and the dice pool. Go even 1 step off and you can easily halve the chance of success. Go 2 steps off and you can make something "impossibly" hard, by which I mean it's unlikely enough that you might never see it happen in a game.

The variance on a d100 might be high, but at least it's easy to distinguish trivial from impossible without running simulations.

kyoryu
2010-10-19, 11:31 PM
If you look at Bakkan's awesome tables though, you can see the obvious problem with this. It's extremely hard to even guess if something is possible or not, because you need to try and estimate the numbers depending on the difficulty, the successes needed, and the dice pool. Go even 1 step off and you can easily halve the chance of success. Go 2 steps off and you can make something "impossibly" hard, by which I mean it's unlikely enough that you might never see it happen in a game.

The variance on a d100 might be high, but at least it's easy to distinguish trivial from impossible without running simulations.

I've never understood why people think dice pool systems are easier.

Falthon
2010-10-23, 01:11 AM
Wow! Thanks much for all the information. This is a huge help!