Question

There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade on the soccer team. Coach Hart will pick one captain from each grade. What is the probability that both captains will be girls?

a.5/24
b.1/4
c.3/10
d.1/2

Answer 1

The answer is a). 5/24.

Explanation:

For the seventh graders there are 4 Boys + 2 Girls which totals 6 students.

• The probability that a girl will be picked from the seventh graders is 2/6

For the eighth graders, there are 3 Boys + 5 Girls which totals 8 students

• The probability that a girl will be picked from the eighth graders is 5/8

To find the probability that both are girls, we multiply the two fractions together:

• 2/6 * 5/8 = 5/24