Question

In a group of 39 pupils, 10 play the flute only. 1 plays the piano only. 13 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

Answer 1

• 5/13

Explanation:

Given:

• Total number = 39
• Flute only = 10
• Piano only = 1
• Neither = 13

Find the number of students who play both instruments:

• 39 - 13 - 10 - 1 = 15

Probability the student plays both instruments:

• P(both) = N(both)/N(total) = 15/39 = 5/13