Mrs. Jones and Mrs. Smith both have two children. There are no twins. Mrs. Jones says that her older child is a girl. Mrs. Smith says that at least one of her children is a girl. (i) What is the probability that the other child of Mrs. Jones is also a girl? (ii) What is the probability that the other child of Mrs. Smith is also a girl? [Hint: Consider the sample space in each of the two cases.]

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Mrs. Jones and Mrs. Smith both have two children. There are no twins. Mrs. Jones says that her older child is a girl. Mrs. Smith says that at least one of her children is a girl. (i) What is the probability that the other child of Mrs. Jones is also a girl? (ii) What is the probability that the other child of Mrs. Smith is also a girl? [Hint: Consider the sample space in each of the two cases.]

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Given data:

Mrs. Jones and Mrs. Smith both have two children. There are no twins. Mrs. Jones says that her older child is a girl. Mrs. Smith says that at least one of her children is a girl.

To find:

(i) What is the probability that the other child of Mrs. Jones is also a girl?

(ii) What is the probability that the other child of Mrs. Smith is also a girl? [Hint: Consider the sample space in each of the two cases.]

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