Assume that each child who is born is equally likely to be a boy or a girl. Suppose that a family has 4 children. (a) Find the probability that at least 2 of them are girls given that the eldest child is a girl. (b) Find the probability that at least 2 of them are girls given that at least one of the children is a girl.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Assume that each child who is born is equally likely to be a boy or a girl. Suppose that a
family has 4 children.
(a) Find the probability that at least 2 of them are girls given that the eldest child is a girl.
(b) Find the probability that at least 2 of them are girls given that at least one of the
children is a girl.
Transcribed Image Text:Assume that each child who is born is equally likely to be a boy or a girl. Suppose that a family has 4 children. (a) Find the probability that at least 2 of them are girls given that the eldest child is a girl. (b) Find the probability that at least 2 of them are girls given that at least one of the children is a girl.
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