Question

A survey of a class of students found that students are girls, students participate in clubs, and

students both are girls and participate in clubs.

What is the probability that a student participates in clubs, given that the student is a girl?

Answer 1

Use conditional probability: P(club | girl) = P(club and girl) / P(girl). In terms of counts, that is

(number who are both girls and in clubs) / (number who are girls).

(If you have numbers, plug them into that fraction and simplify.)