SOLUTION: What is the probability that 6 rolls of a fair die will show four exactly 5 times?

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Question 1041019: What is the probability that 6 rolls of a fair die will show four exactly 5 times?
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
You can see this is very very unlikely.

If an event is repeated n times with a probability of success 
each time is p, then the probability of getting exactly x 
successes is given by the binomial formula:



You case is n=6 trials (rolls)
The probability of a success (four) each time is p=1/6  
The number of successes x=5












Edwin
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