Question

A company needs to hire 4 new employees. There were 55 male and 40 female applicants. Find the probability that all 4 people hired are male.

Answer 1

0.11

Step-by-step explanation

There are 95 (that is 55 + 40) choices in total and 55 favourable choices.

Now,

The probability of the 1st person being a male is 55/95

The probability of the 2nd person being a male is 54/94

The probability of the 3rd person being a male is 53/93

The probability of the 4th person being a male is 52/92

Hence, the probability of all 4 being males = (55/95)x(54/94)x(53/93)x(52/92) = 0.107

Hence, the probability that all 4 people hired are male is 0.11