SOLUTION: Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of e

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Question 1161655: Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly eight girls in ten births.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is the binomial type probability distribution.


The number of trial n= 10; the probability of the success trial is  1%2F2,  and the number of success trial k = 8. 


    P = C%5B10%5D%5E8%2A%281%2F2%29%5E8%2A%281-51%2F2%29%5E2 = %28%2810%2A9%29%2F%281%2A2%29%29%2A%281%2F2%29%5E8%2A%281%2F2%29%5E4 = 45%2A%281%2F2%29%5E10 = 0.043945.     ANSWER

Solved.

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