High School

Out of 56 students who watched tennis, 20 are boys, and 17 are girls. There are 32 students who didn't watch tennis. If one of these students is chosen at random, what is the probability that the student chosen will be a boy? Express your answer in simplified fraction form.

Answer :

The probability that the student chosen at random will be a boy, in simplified fraction form, is 5/22.

Compare the number of boys to the total number of students.

Number of students who watched tennis: 56
Number of boys who watched tennis: 20
Number of girls who watched tennis: 17
Number of students who didn't watch tennis: 32

Add the number of students who watched tennis to the number of students who didn't watch tennis:
Total number of students = Number of students who watched tennis + Number of students who didn't watch tennis
Total number of students = 56 + 32 = 88

The probability of choosing a boy can be calculated as follows:
Probability of choosing a boy = Number of boys who watched tennis / Total number of students
Probability of choosing a boy = 20 / 88
Probability of choosing a boy = 5/22

Therefore, the probability is 5/22.

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