What is the conditional probability that a family with two children has two boys, given they have at least one boy? Assume that each of the possibilities BB, BG, GB, and GG is equally likely, where B represents a boy and G represents a girl. (Note that BG represents a family with an older boy and a younger girl while GB represents a family with an older girl and a younger bov.)

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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Subject: Discrete Structures
Topic: Probability
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What is the conditional probability that a family with two children has two boys, given they
have at least one boy? Assume that each of the possibilities BB, BG, GB, and GG is equally
likely, where B represents a boy and G represents a girl. (Note that BG represents a family with
an older boy and a younger girl while GB represents a family with an older girl and a younger
boy.)
Transcribed Image Text:What is the conditional probability that a family with two children has two boys, given they have at least one boy? Assume that each of the possibilities BB, BG, GB, and GG is equally likely, where B represents a boy and G represents a girl. (Note that BG represents a family with an older boy and a younger girl while GB represents a family with an older girl and a younger boy.)
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