A science class has 5 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.

To find the probability of picking two boys, we need to first know how many different ways she can pick the 7th and 8th grader.

There are 12 7th-graders and 8 8th-graders. So the total number of ways she can pick is:

12

×

8

=

96

To get two boys picked, there are 5 boys in the 7th-grade class and 4 in the 8th-grade class, so there are:

5

×

4

=

20

ways

Which gives us the probability of:

20

96

=

5

24

≅

21

%

Step-by-step explanation:

y=mx+