A math question

Question

A math class has 6

 girls and 2

 boys in the seventh grade and 5

 girls and 7

 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?

Answer 1

Because there are 6 girls in the seventh grade out of 8 seventh graders total, the probably that the teacher selects a girl from the seventh grade is 6/8. Because there are 5 girls in the eighth grade out of 12 eighth graders total, the probably that the teacher selects a girl from the eighth grade is 5/12. The probability that both happen is (6/8) multiplied by (5/12), which is 30/96, which simplifies to (5/16), which is 31.25% or 0.3125