Question

At a high school, 18% of all students are in the school musical and the choir, and 32% of all students are in the school musical. What is the probability that a student is in choir, given that the student is in the school musical?

A.
14%
B.
50%
C.
56%
D.
178%

Answer 1

M stands for : student is in the school musical
and
C stands for : student is in the choir
P(M n C) = 0.18
P(M) = 0.32
then, by def. of cond. proba. :

P(C | M ) = P(M n C) / P(M)
= 0.18/ 0.32
# 0.56

------------------> C) 56% ANSWER

Answer 2

A high school has 18% percent of students in the choir & school musical, and 32% of all students are in the school musical. The probability that a student is in choir, given that the student is in the school musical is approximately 56%.