Jury Duty probability

Question

A jury of 10 people is to be selected from an available pool of 10 women and 8 men. What is the probability that the numbers of men and women in the selected jury are equal?

Answer 1

Number of people in the jury is 10.

Available persons are 10 women and 8 men.

Find the probability of the event E that the numbers of men and women in the selected jury are equal.

Numbers of men and women in the selected jury are equal refers to 5 women and 5 men.

Number of possibles for the event is .

Number of selectios for the jury of 10 people from 18 people is .

Probability of the event is 

.

Probability of the event E is 0.32.