Question

A math class has 5 girls and 7 boys in the seventh grade and 2 girls and 2 girls and 2 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 girls? Write to ye answer as a fraction in simplest form.

Answer 1

the probability of selecting two girls is 5/24, or five twenty-fourths.

Explanation:

The total number of students in the class is:

5 girls + 7 boys + 2 girls + 2 boys + 2 girls = 18 students

The probability of selecting a girl from the seventh grade is 5/12. Once a girl is selected from the seventh grade, there are two girls out of four students in the eighth grade to choose from, so the probability of selecting a girl from the eighth grade is 2/4 = 1/2. Therefore, the probability of selecting two girls is:

(5/12) * (1/2) = 5/24

So the probability of selecting two girls is 5/24, or five twenty-fourths.