SOLUTION: A single die is rolled 18 times. What is the probability that a six is rolled exactly once, if it is known that at least one six is rolled?

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Question 1036633: A single die is rolled 18 times.
What is the probability that a six is rolled exactly once, if it is known that at least one six is rolled?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You need the probability that 0 sixes are rolled in 17 trials and, assuming a fair 6-sided die, the probability of a 6 on any single trial is 1/6.

The probability of successes in trials where is the probability of success on any given trial is given by:



Where is the number of combinations of things taken at a time and is calculated by

Just do the arithmetic.

John

My calculator said it, I believe it, that settles it