A total of 500 married working couples were polled about their annual salaries, with the following information resulting.
Husband
|
Wife
|
Less than $50,000
|
More than $50,000
|
|
Less than $50,000
|
212
|
198
|
|
More than $50,000
|
36
|
54
|
Thus, for instance, in 36 of the couples the wife earned more and the husband earned less than $50,000. If one of the couples is randomly chosen, what is
(a) the probability that the husband earns less than $50,000;
(b) the conditional probability that the wife earns more than $50,000 given that the husband earns more than this amount;
(c) the conditional probability that the wife earns more than $50,000 given that the husband earns less than this amount?