You select a family with four children.  If M represents a male child and F a female​ child, the set of equally likely outcomes for the​ children's genders is​ {FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM, FMFM,​ FMMF, FMMM,​ MFMM, MMFM,​ MMMF, MMMM}.  Find the probability of selecting a family with exactly 2 male children.

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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You select a family with four children.  If M represents a male child and F a female​ child, the set of equally likely outcomes for the​ children's genders is​ {FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM, FMFM,​ FMMF, FMMM,​ MFMM, MMFM,​ MMMF, MMMM}.  Find the probability of selecting a family with exactly 2 male children.

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