Question
Asked Dec 21, 2019
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Probability of a Girl  Assuming that boys and girls are equally likely, find the probability of a couple having at least one boy after their fifth child is born, given that the first four children were all girls.

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Expert Answer

Step 1

Here, A= the couple has at least one boy child when they already have four girl children.

In this case, Ā denotes the couple has no boy child, when they already have 4 girl children. Since the two possible outcomes are equally likely, the probability of having a boy is 0.5 and the probability of having a girl is 0.5.

Probability for Ā:

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P(A) = P(No boy child) = 0.5

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Step 2

Complementary probability:

The pro...

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P(4) =1- P(A) =1-0.5 = 0.5

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