Question

Of the 30 students in Mrs. Smith's math class, 13 are athletes and 9 are in band. Three of the athletes are also in band. If one student is chosen at random, find the probability that this student is in band, if it is known that they are not an athlete.

Answer 1

its 6/17

Explanation:

30 kids in total

10 are athletes

6 are in band

3 are in both

11 are neither

17 are not athletes

6/17 are in band are are not athletes

Answer 2

Needed Information:

30 students

6 in band

10 are athletes

3 are in both

Do 6/30 to get 1/5 so it is a 1/5 probability the student chosen will be in just band.