Explanation The people in a room are divided into two groups as follows: Members ( M ) : 15 men, 20 women, 0 children Non-members ( M ¯ ) : 10 men, 8 women, 12 children Let N be the event of selecting a man, W be the event of selecting a women and C be the event of selecting a child. First select a group, and then select a person. When a group is selected at random, the probability of M being twice as likely to be chosen as M ¯ , which implies P ( M ) = 2 P ( M ¯ ) P ( M ) + P ( M ¯ ) = 1 2 P ( M ¯ ) + P ( M ¯ ) = 1 3 P ( M ¯ ) = 1 P ( M ¯ ) = 1 3 Consider the expression, P ( M ) = 1 − P ( M ¯ ) = 1 − 1 3 = 2 3 Total number of events in M is 35

13th Edition

ISBN: 9781285697734

Author: karl J. smith

Publisher: Cengage Learning US

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Chapter 13.5, Problem 52PS

To determine

To Find:

The probability P(M¯|W).

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Chapter 13.5, Problem 53PS

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Chapter 13 Solutions

Nature of Mathematics

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