Question

In a group of 16 pupils, 1 plays the flute only. 1 plays the piano only. 11 play both instruments. A student is chosen at random. What is the probability the student plays neither instrument?

Answer 1

Answer:

3/16

Step-by-step explanation:

16 pupils, 11 play both, 1 plays piano only and 1 flute only

⇒ 11 + 1 + 1 = 13 pupils who play at least one instrument

⇒ 16 - 13 = 3 pupils who don't play either instrument

⇒ Out of the 16 total pupils, 3 play neither, putting this into numbers:

$\frac{3}{16}$ which is then also the answer.