In my first 4e game, everyone had terrible luck, especially on encounter/daily powers - my paladin rolled a 1 on a daily, which would've hit otherwise (flanking + Action Surge). Spending an action point to use it made it even more annoying.

In the 4e game I'm currently DMing, 5 out of 6 of my players have consistently bad luck - their average roll on d20 is 9, and only because they tend to roll well on skill checks and initiative, and because the sixth players hits with almost every attack. (Yes, they tend to miss with daily and encounter powers a lot, too.) Two or three of them fought a minion for several turns once, and it managed to down one of them before getting finally killed! Good that dying in 4e once unconscious is hard...

It seems that the 4e version of Random Dice God just hates players.