Two men M, and M, and three women W, W,and W, in a big industrial firm, are trying for promotion to a single post which falls vacant. Those of the same sex have equal probabilities of getting promotion but each man is twice as likely to get the promotion any 3 women. (a) Find the probability that a woman gets the promotion. (b) If M, and W, are husband and wife, find the probability that one of them gets the promotion.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Two men M, and M, and three women W, W,and W, in a
big industrial firm, are trying for promotion to a single post which
falls vacant. Those of the same sex have equal probabilities of getting
promotion but each man is twice as likely to get the promotion any
1'
women.
(a) Find the probability that a woman gets the promotion.
(b) If M, and W, are husband and wife, find the probability
that one of them gets the promotion.
Transcribed Image Text:Two men M, and M, and three women W, W,and W, in a big industrial firm, are trying for promotion to a single post which falls vacant. Those of the same sex have equal probabilities of getting promotion but each man is twice as likely to get the promotion any 1' women. (a) Find the probability that a woman gets the promotion. (b) If M, and W, are husband and wife, find the probability that one of them gets the promotion.
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