Question

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

the probability that a student takes theater given that the student is taking choir is 0.3

Explanation:

The probability that a student takes theater and choir = 0.078

The probability that a student takes choir = 0.26

the probability that a student takes theater given that the student is taking choir ?

We can solve this using conditional probability.

P(B|A) = P(A and B)/P(A)

In our case the conditional probability will be:

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

Putting the given values

P(Theater | Choir) = (0.078) / 0.26

P(Theater | Choir) = 0.3

So, the probability that a student takes theater given that the student is taking choir is 0.3