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?

	male	female	total
didnt have flue shot	12	8	20
total	51	49	100

residents at college dormitories

Explanation:

Step1: Identify relevant values

Number of males who had flu - shot = 30, total number of males = 51.

Step2: Calculate conditional probability

Probability = $\frac{30}{51}=\frac{10}{17}$

Answer:

$\frac{10}{17}$