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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 26E
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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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