What is the conditional probability that the wife earns more than $125,000, given that the husband earns more than this amount?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A total of 500 married working couples were polled about their annual salaries, with the fol-
lowing information resulting:
husband
husband
less than
more than
$125, 000 $125, 000
wife
less than $125, 000
212
198
wife more than $125, 000
36
54
For instance, in 36 of the couples the wife earned more and then husband earned less than $
125,000. If a couple is chosen at random:
What is the conditional probability that the wife earns more than $125,000, given that
the husband earns more than this amount?
Transcribed Image Text:A total of 500 married working couples were polled about their annual salaries, with the fol- lowing information resulting: husband husband less than more than $125, 000 $125, 000 wife less than $125, 000 212 198 wife more than $125, 000 36 54 For instance, in 36 of the couples the wife earned more and then husband earned less than $ 125,000. If a couple is chosen at random: What is the conditional probability that the wife earns more than $125,000, given that the husband earns more than this amount?
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