Eye color in humans is determined by a single pair of genes. If both genes are blue-eyed genes, then the person will have blue eyes; if they are both brown-eyed genes, then they will have brown eyes; and if one is a blue-eyed gene and the other is brown-eyed gene, then the person will have brown eyes. A baby receives one gene from each of its parents and the gene it receives is equally likely to be either of the two genes of that parent. Suppose that

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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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Eye color in humans is determined by a single pair of genes. If both genes are blue-eyed genes, then the person will have blue eyes; if they are both brown-eyed genes, then they will have brown eyes; and if one is a blue-eyed gene and the other is brown-eyed gene, then the person will have brown eyes. A baby receives one gene from each of its parents and the gene it receives is equally likely to be either of the two genes of that parent.

Suppose that Mario and both of his parents have brown eyes, but that his sister has blue eyes.

(a) What is the probability that Mario possesses a blue-eyed gene?

(b) Suppose that Mario’s wife has blue eyes. What is the probability that a child of theirs will have blue eyes?

(c) If their first child has brown eyes, what is the probability that their second child will also have brown eyes?

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