At Eagle Rock High School, the probability that a student takes theatre and choir is 0.078. The probability that a student takes choir is 0.26. What is the probability that a student takes theatre given that the student is taking choir?

Answer 1

To find the probability that a student takes theatre given that the student is taking choir, we can use the conditional probability formula:

P(Theatre | Choir) = P(Theatre and Choir) / P(Choir)

Given:
P(Theatre and Choir) = 0.078
P(Choir) = 0.26

Therefore,
P(Theatre | Choir) = 0.078 / 0.26
P(Theatre | Choir) ≈ 0.3

Therefore, the probability that a student takes theatre given that the student is taking choir is approximately 0.3.