Question

A math class has 7 girls and 3 boys in the seventh grade and 3 girls and 9 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.

Answer 1

7th grade has 3 boy out of 10 students

 probability of picking a boy is 3/10

8th grade has 9 boys out of 12 students are boys

 probability of picking a boy is 9/12 reduced to 3/4

3/10 x 3/4 = 9/40 probability of picking 2 boys