Question

There are 24 chairs in a room numbered 1 through 24. If nine girls and 15 boys sit on these chairs at random, what is the probability that the thirteenth chair is occupied by a boy?

Answer 1

`5/8`

Explanation:

Since all the people sit on the chairs at random, the probability of a certain chair being occupied by a boy is equal to the probability of randomly picking a boy from the class. Since there are 24 people total and 15 of them are boys, there is a
`(15)/(24)=\boxed{(5)/(8)}` chance that the thirteenth chair is occupied by a boy.