Answer:
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
