A single die is rolled 15 times. What is the probability that a six is rolled exactly once, if it is known that at least one six is rolled?

Question

I did 1-(5/6)^15 and got 0.9351 but it says I am wrong. What should I do?

Answer 1

Use conditional probability. You already calculated the denominator. Calculate the numerator using the binomial probability function-- 15C1 * (1/6)^1 * (5/6)^14.