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© In a group of 23 pupils, 4 play the flute only.
3 play the piano only.
15 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?

1 Answer

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Answer:

The probability is 4.34%.

Explanation:

Given that in a group of 23 pupils, 4 play the flute only, 3 play the piano only and 15 play neither instrument, if a student is selected at random, to determine what is the probability the student plays both instruments the following calculation has to be done:

23 - 15 - 4 - 3 = 1

Therefore, only 1 student plays both instruments, with which the probability that if a student is chosen at random he will play both instruments is 1/23, that is:

23 = 100

1 = X

100/23 = X

4.34 = X

Therefore, the probability is 4.34%.

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