At Kennedy High School, the probability of a student playing in the band is 0.15. The probability of a student playing in the band and playing on the football team is 0.03.
Given that a student at Kennedy plays in the band, what is the probability that they play on the football team?
Answer options with 5 options
A.
0.03
B.
0.12
C.
0.15
D.
0.18
E.
0.20
To find the probability of a student playing on the football team given that they play in the band, we can use the formula for conditional probability:
P(Football | Band) = P(Football and Band) / P(Band)
Given that P(Band) = 0.15 and P(Football and Band) = 0.03, we can plug these values into the formula:
P(Football | Band) = 0.03 / 0.15 = 0.20
Therefore, the probability that a student plays on the football team given that they play in the band is 0.20.
Answer: E. 0.20