Question

A math class has 5 girls and 5 boys in the seventh grade and 9 girls and 1 boy 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.

Answer 1

Given

A math class has 5 girls and 5 boys in the seventh grade and 9 girls and 1 boy in the eighth grade.

The teacher randomly selects a seventh grader and an eighth grader from the class for a competition.

To find: What is the probability that the students she selects are both boys?

Step-by-step explanation:

It is given that,

The number of students in the seventh grade is 5+5=10.

Also, the number of students in the eighth grade is 9+1=10.

Let A be the event of selecting a seventh grader and an eighth grader from the class for a competition.

Therefore, the probability that the students she selects are both boys is,

`\begin{gathered} P(A)=(5)/(10)*(1)/(10) \\ =(1)/(2)*(1)/(10) \\ =(1)/(20) \end{gathered}`

Hence, the probability that the students she selects are both boys is 1/20.