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:$\dfrac{7}{13}$

Step-by-step 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 $\frac{14}{26}=\frac{7}{13}$