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?

Question

Mathematics

Bryan Duran

13 May, 09:29

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?

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Aries · Answer 1

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

Step-by-step 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