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?
• 2.03%
7.8%
• 18.2%
30%
To calculate the probability that a student takes theatre given that the student is taking choir, we need to use the formula for conditional probability:
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 = 0.3 or 30%
Therefore, the probability that a student takes theatre given that the student is taking choir is 30%.