TITLE: Dice probability over multiple rolls.
QUESTION [7 upvotes]: What is the probability of rolling one or more 6's using 3 six sided dice (1...6) that are rolled three times?
How does multiple rolls influence the probability, is it simply 3 times the probability of a single roll? 
Please simplify ; )

REPLY [9 votes]: I find it easier to consider the problem of not rolling a 6 with any of the three dice (the same problem with a different definition).
The chance of not rolling a 6 is 5/6. The chance of not rolling a six on any of your dice is therefor 5/6 * 5/6 * 5/6.
The chance of rolling at least one six is therefore the opposite of this:
1 - (5/6)^3 = 0.421