Question

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?
a 0.03
b. 0.12
c. 0.15
d. 0.18
e 0.20

Explanation:

Step1: Recall conditional probability formula

The conditional probability formula is $P(A|B) = \frac{P(A \cap B)}{P(B)}$, where $A$ is "plays football", $B$ is "plays in band".

Step2: Identify given values

$P(A \cap B) = 0.03$, $P(B) = 0.15$

Step3: Substitute values into formula

$P(A|B) = \frac{0.03}{0.15}$

Step4: Calculate the result

$\frac{0.03}{0.15} = 0.20$

Answer:

E. 0.20