In a class of 50 students, 10 play tennis (including those who also play volleyball), 15...

In a class of 50 students, 10 play tennis (including those who also play volleyball), 15 play volleyball (including those who also play tennis), and 5 play both tennis and volleyball. If I pick a student at random, what is the probability that s/he doesn't play either tennis or volleyball?

Solutions

Expert Solution

number of students

number of students who play tennis (including those who also play volleyball)

number of students who play volleyball (including those who also play tennis)

number of students who play both tennis and volleyball

let us calculate each probability first

If I pick a student at random, what is the probability that s/he doesn't play either tennis or volleyball?

we want the probability that

hence the probability that the randomly chosen student doesn't play either tennis or volleyball is 3/5.

orchestra answered 1 year ago

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