346 The probability is 6 that a patient selected at random f

3.4.6 The probability is .6 that a patient selected at random from the current residents of a certain hospital will be a male. The probability that the patient will be a male who is in for surgery is .2. A patient randomly selected from current residents is found to be a male; what is the probability that the patient is in the hospital for surgery?

Solution

The probability is

P(surgery|male) = P(surgery and male)/P(male)

=0.2/0.6

=0.33