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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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