Question

The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 22 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected

Answer 1

0.0001899

Explanation:

Total number to be selected from= 22

The number to be chosen for the event in an ordered sample is 5 from 22 people= 22C5

Where 22 Is the total number of possibilities and 5 is the no of selection

22C5= 22!/(22-5)!5!

= 22!/17!5!

= 22*21*20*19*18*17!/17!*5!

22*21*20*19*18/5*4*3*2*1

=22*7*19*9

=26334

If there is exactly 5 young people in the population, the probability will be 5/22C5

=5/26334

=0.0001899.