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

Explanation:

Answer 2

Answer: D) 0.18

Explanation:

A: plays the trumpet

B: is in the brass section

Using conditional probability, you have

`P(A|B) = (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`