Question

in a concert band, the probability that a member is in the brass section is 0.50. the probability that a member plays the trumpet, given that he or she is in the brass section, is 0.36

Answer 1

Answer: D) 0.18

Step-by-step explanation:

A: plays the trumpet

B: is in the brass section

Using conditional probability, you have

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

The given information is

$P(B) = 0.50$

and

$P(A|B) = 0.36$

The probability that a randomly selected band member is in the brass section AND plays the trumpet is

$P(A and B)$

So, according to conditional probability

$P(A and B) = P(A|B) * P(B) = 0.36*0.50 = 0.18$

Answer 2

Answer:D

Step-by-step explanation: