tedcahill2
2018-05-14, 01:52 PM
If you were playing a system that uses dice pools, how many dice is too many. By too many I more refer to the slog of determining successes as compare to the space required to roll them.
I ask because I'm brainstorming some custom dice mechanics and I want to use dice pools but don't want people rolling 15, 20, 30 dice per skill check or combat check.
The thought I had was to set a maximum number of dice rolls, let's say 10. This provides a sufficient amount of randomness. For every 4 points in your dice pool above 10 you get an additional success. In essence, once's you've reach 10 dice in your pool you reach a point of diminishing returns. I created a table of the binomial distribution for between 0 and 10 successes with dice pools from 1 to 50, and like the looks of the distribution.
One thing to keep in mind is that even when the table says 100%, that doesn't mean you'll always succeed, you still need to roll the dice to confirm that a critical failure hasn't occurred.
Dice12345678910
133.3333%---------
255.5556%11.1111%--------
370.3704%25.9259%3.7037%-------
480.2469%40.7407%11.1111%1.2346%------
586.8313%53.9095%20.9877%4.5267%0.4115%-----
691.2209%64.8834%31.9616%10.0137%1.7833%0.1372%----
794.1472%73.6626%42.9355%17.3297%4.5267%0.6859%0.0 457%---
896.0982%80.4908%53.1779%25.8650%8.7944%1.9662%0.2 591%0.0152%--
997.3988%85.6932%62.2822%34.9693%14.4846%4.2422%0. 8281%0.0965%0.0051%-
1098.2658%89.5951%70.0859%44.0736%21.3128%7.6564%1 .9662%0.3404%0.0356%0.0017%
14100.0000%98.2658%89.5951%70.0859%44.0736%21.3128 %7.6564%1.9662%0.3404%0.0356%
18100.0000%100.0000%98.2658%89.5951%70.0859%44.073 6%21.3128%7.6564%1.9662%0.3404%
22100.0000%100.0000%100.0000%98.2658%89.5951%70.08 59%44.0736%21.3128%7.6564%1.9662%
26100.0000%100.0000%100.0000%100.0000%98.2658%89.5 951%70.0859%21.3128%21.3128%7.6564%
30100.0000%100.0000%100.0000%100.0000%100.0000%98. 2658%89.5951%44.0736%44.0736%21.3128%
34100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%98.2658%70.0859%70.0859%44.0736%
38100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%0.3404%89.5951%70.0859%
42100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%100.0000%98.2658%89.5951%
46100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%100.0000%100.0000%98.2658%
50100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%100.0000%100.0000%100.0000%
I ask because I'm brainstorming some custom dice mechanics and I want to use dice pools but don't want people rolling 15, 20, 30 dice per skill check or combat check.
The thought I had was to set a maximum number of dice rolls, let's say 10. This provides a sufficient amount of randomness. For every 4 points in your dice pool above 10 you get an additional success. In essence, once's you've reach 10 dice in your pool you reach a point of diminishing returns. I created a table of the binomial distribution for between 0 and 10 successes with dice pools from 1 to 50, and like the looks of the distribution.
One thing to keep in mind is that even when the table says 100%, that doesn't mean you'll always succeed, you still need to roll the dice to confirm that a critical failure hasn't occurred.
Dice12345678910
133.3333%---------
255.5556%11.1111%--------
370.3704%25.9259%3.7037%-------
480.2469%40.7407%11.1111%1.2346%------
586.8313%53.9095%20.9877%4.5267%0.4115%-----
691.2209%64.8834%31.9616%10.0137%1.7833%0.1372%----
794.1472%73.6626%42.9355%17.3297%4.5267%0.6859%0.0 457%---
896.0982%80.4908%53.1779%25.8650%8.7944%1.9662%0.2 591%0.0152%--
997.3988%85.6932%62.2822%34.9693%14.4846%4.2422%0. 8281%0.0965%0.0051%-
1098.2658%89.5951%70.0859%44.0736%21.3128%7.6564%1 .9662%0.3404%0.0356%0.0017%
14100.0000%98.2658%89.5951%70.0859%44.0736%21.3128 %7.6564%1.9662%0.3404%0.0356%
18100.0000%100.0000%98.2658%89.5951%70.0859%44.073 6%21.3128%7.6564%1.9662%0.3404%
22100.0000%100.0000%100.0000%98.2658%89.5951%70.08 59%44.0736%21.3128%7.6564%1.9662%
26100.0000%100.0000%100.0000%100.0000%98.2658%89.5 951%70.0859%21.3128%21.3128%7.6564%
30100.0000%100.0000%100.0000%100.0000%100.0000%98. 2658%89.5951%44.0736%44.0736%21.3128%
34100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%98.2658%70.0859%70.0859%44.0736%
38100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%0.3404%89.5951%70.0859%
42100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%100.0000%98.2658%89.5951%
46100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%100.0000%100.0000%98.2658%
50100.0000%100.0000%100.0000%100.0000%100.0000%100 .0000%100.0000%100.0000%100.0000%100.0000%