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 Foster will pick one captain from each grade. What is the probability that both captains will be girls? Type your answer as a simplified fraction. ANSWER MY QUESTION PLEASE.

Answer 1

There are 4 boys and 2 girls (6 together) from the seventh grade, then the probability that captain will be girl is equal to $P_1= \dfrac{2}{6} = \dfrac{1}{3}$.

There are 3 boys and 5 girls from the eighth grade (8 together) from the seventh grade, then the probability that captain will be girl is equal to $P_1= \dfrac{5}{8}$.
Use the product rule to find the probability that both captains will be girls:
$P=\dfrac{1}{3}\cdot \dfrac{5}{8}=\dfrac{5}{24}$.