SOLUTION: In a family with 6 ​children, excluding multiple​ births, what is the probability of having 5 boys and 1​ girl, in any​ order? Assume that a boy is as likely as a girl at e

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Question 1156750: In a family with 6 ​children, excluding multiple​ births, what is the probability of having 5 boys and 1​ girl, in any​ order? Assume that a boy is as likely as a girl at each birth.
The probability of having 5 boys and 1 girl i
Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
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This probability is


    P = C%5B6%5D%5E5%2A%281%2F2%29%5E5%2A%281%2F2%29 = 6%2A%281%2F2%29%5E6 = 0.09375 = 9.375%.    ANSWER


It is the binomial distribution probability with the number of trials n= 6, 

with the number of successful trials k=5 and the probability of success 1%2F2.