Question

The school jazz band consists of 2 male percussionists, 2 female percussionists, 3 male woodwinds, 2 female woodwinds, 4 male brass players, and 3 female brass players. If a female member of the band is absent, what is the probability she is a woodwind?

Answer 1

`(1)/(8)` chance or 12.5% chance

Explanation:

2 male percussionists

2 female percussionists

3 male woodwinds

2 female woodwinds

4 male brass players

3 female brass players

We're looking for a female woodwind. Now there is only 2 of them so we get the female woodwinds out of all the jazz band members or
`(2)/(16)` or
`(1)/(8)` or 12.5% chance.