A total of 500 married working couples were polled about their annual salaries, with the following information resulting:
Wife | Husband | |
Less than $25,000 | More than $25,000 | |
Less than $25,000 | 212 | 198 |
More than $25,000 | 36 | 54 |
For instance, in 36 of the couples, the wife earned more and the husband earned less than $25,000. If one of the couples is randomly chosen, what is
(a) the probability that the husband earns less than $25,000?
(b) the conditional probability that the wife earns more than $25,000 given that the husband earns more than this amount?
(c) the conditional probability that the wife earns more than $25,000 given that the husband earns less than this amount?
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