Question

A math class has 4 girls and 4 boys in the seventh grade and 3 girls and 5 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 your answer as a fraction in simplest form.

Answer 1

Total seventh grade = 4 + 4 = 8
Total eight grade = 3 + 5 = 8

P(a seventh grade girl and a eight grade girl) = (4/8)(3/8) = 3/16

Answer: 3/16

Answer 2

Hey there :)

Math class:
7th grade = 4 girls and 4 boys Total students in grade 7 → 4 + 4 = 8
8th grade = 3 girls and 5 boys Total students in grade 8 → 3 + 5 = 8

Fraction of girls in 7th grade =
`(4)/(8) = (1)/(2)`
Fraction of girls in 8th grade =
`(3)/(8)`

Teacher randomly chooses a 7th and 8th grader.
Therefore the probability will be:
P = girls of 7th grade x girls of 8th grade

P =
`(1)/(2)` ×
`(3)/(18)`
=
`(3)/(16)`