SOLUTION: #39 Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will have the given c

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Question 1118921: #39 Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with four children will have the given composition. (Enter your answer to three decimal places.)
Three boys and one girl ?

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
C%5B4%5D%5E3%2A%281%2F2%29%5E3%2A%281%2F2%29 = 4%2A%281%2F2%29%5E4 = 1%2F4.

Explanation

4 independent outcomes are possible

G B B B

B G B B

B B G B

B B B G


each with the probability  %281%2F2%29%5E4.


It gives the final answer.