What is the exact probability that, when rolling six fair dice, at least one of the dice shows a 6?  Choose the most appropriate option:
A) 1 B) 31031/46656 C) 5/6 D) 35625/46656 E) 1/6
For each dice, the probability of not rolling a 6 is 5/6. The total probability of not rolling a 6 is (5/6)^6. The correct answer is thus 1 - (5/6)^6 = 31031/46656, so the answer is 31031/46656.
<result>B</result>
What is the exact probability that, when rolling six fair dice, at least one of the dice shows a 6?