Question

In a certain Algebra 2 class of 26 students, 5 of them play basketball and 12 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer 1

Answer:
`(7)/(13)`

Explanation:

There are only two games basketball and baseball.

Any student who plays could play basketball or baseball.

Given that there are
`26` students in total.

Given that there are
`12` students who don't play any game at all.

So,there are
`26-12=14` students who play play some baseball or basketball.

`Probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}`

The required probability is
`(14)/(26)=(7)/(13)`