SOLUTION: A single 6-sided die is rolled 8 times. What is the probability that either 4 or 5 was rolled exactly twice.

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Question 1157032: A single 6-sided die is rolled 8 times. What is the probability that either 4 or 5 was rolled exactly twice.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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It is the binomial type probability distribution.


The number of trial n= 8; the probability of the success trial is  1%2F6 + 1%2F6 = 1%2F3,  and the number of success trial k = 2. 


P = C%5B8%5D%5E2%2A%281%2F3%29%5E2%2A%282%2F3%29%5E6 = %28%288%2A7%29%2F%281%2A2%29%29%2A%281%2F3%29%5E2%2A%282%2F3%29%5E6 = 0.2731 (rounded).     ANSWER