Question

Please show all the working out.

In a group of 26 people, 3 play flute only. 5 play piano only. 7 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

Answer 1

11/26 chance that the student plays both instruments.

First, add the amount of students that just play flute or piano:

3 + 5 = 8

Then add 8 to the amount that does not play either instrument:

8 + 7 = 15

Then do:

26 - 15 = 11

Then place 11 over the amount of people:

11/26