A couple intends to have children until they get at least one boy and one girl, but they agree that they will not have more than three children, even if all are girls or all are boys. (Assume boys and girls are equally likely). a. Determine the probability distribution for the number of children they will have. b. Calculate the probability of having two children.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A couple intends to have children until they get at least one boy and one girl, but they agree that they will not have more than three children, even if all are girls or all are boys. (Assume boys and girls are equally likely).


a. Determine the probability distribution for the number of children they will have.
b. Calculate the probability of having two children.

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