Question

A math class has 2 girls and 2 boys in the seventh grade and 1 girl 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

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Explanation:

There are a total of 4+2=6 students in the seventh grade and 9+1=10 students in the eighth grade, so there are a total of 6+10=16 students in the class.

The probability of selecting a boy from the seventh grade is 2/4 = 1/2, and the probability of selecting a boy from the eighth grade is 9/10.

To find the probability of both events happening, we multiply the probabilities:

P(selecting a boy from seventh grade AND selecting a boy from eighth grade) = (1/2) x (9/10) = 9/20.

Therefore, the probability that the students selected for the competition are both boys is 9/20.