Question

In a certain Algebra 2 class of 24 students, 12 of them play basketball and 7 of them play baseball. There are 4 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer 1

5/8

Explanation:

So, if we add 7 + 12, then it seems that 19 of the 24 students play one of the two sports. But there are 4 students that play both, so we must account for that.

To get the actual number of students that play sports, we must subtract 4 from 19.

19 - 4 = 15

So now we know that 15 out of the 24 students play sports.

We can divide 15 and 24 by 3 to find the simplified fraction.

15 / 3 = 5 24 / 3 = 8

So 5 out of every 8 students plays one of these sports, which means that the probability of picking one of these students is 5/8!