You roll a fair die six times.What is the probability that you roll at least one 5?
A)0.335
B)0.665
C)0.167
D)1
E)0.00002

Question

Quizplus · Accepted Answer

1. The probability of not rolling a 5 in one roll is 5/6.
2. The probability of not rolling a 5 in six rolls is (5/6)^6.
3. The probability of rolling at least one 5 in six rolls is 1 - (5/6)^6.
4. Using a calculator, we get 1 - (5/6)^6 ≈ 0.665. Therefore, the answer is B.

You Roll a Fair Die Six Times