Question

Suppose one person is selected at random from a group of 100 persons are given in the following:

Title	Psychologist	Socialist	Democrate	Total
Men	15	25	10	50
Women	20	15	15	50
Total	35	40	25	100

What is the probability that the man selected is a Psychologist?

Answer 1

Total number of men = 50 

Number of men psychologist = 15 

The probability of selecting a psychologist given that a man has been already selected is \(\frac{15}{50}=\frac{3}{10}\)