Question

the director of health services is concerned about a possible flu outbreak at her college. she surveyed 100 randomly selected residents from the colleges dormitories to see whether they had received a preventative flu shot. the results are shown below. what is the probability that a dormitory resident chosen at random from this group has had a flu shot, given that he is male?

	had flu shot	didnt have flu shot	total
female	41	8	49
total	80	20	100

Explanation:

Step1: Identify relevant values

We want P(Male|Flu Shot). Number of males with flu - shot is 39, total number with flu - shot is 80.

Step2: Calculate conditional probability

P(Male|Flu Shot)=$\frac{39}{80}$

Answer:

$\frac{39}{80}$