SOLUTION: What is the probability that 17 rolls of a die will show 7 fives?

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Question 379582: What is the probability that 17 rolls of a die will show 7 fives?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 

where p and q are the probabilities of success and failure respectively. 

In this case p = 1/6   q = 5/6

P(7 fives out of 17 rolls) = 17C7 (1/6)^7(5/6)^10 = .0112