N a concert band, the probability that a member is in the brass section is 0.50. The probability that a member plays trombone, given that he or she is in the brass section, is 0.36. What is the probability that a randomly selected band member is in the brass section and plays trumpet?

A) 0.50

B) 0.72

C) 0.14

D) 0.18

Question

Mathematics

Leonidas Pittman

1 January, 05:53

N a concert band, the probability that a member is in the brass section is 0.50. The probability that a member plays trombone, given that he or she is in the brass section, is 0.36. What is the probability that a randomly selected band member is in the brass section and plays trumpet?

A) 0.50

B) 0.72

C) 0.14

D) 0.18

+5

Answers (1)

Know the Answer?

Savannah Warren · Answer 1

The correct option is D

Step-by-step explanation:

To find the solution of this problem firstly we will find the probability that some one is in the brass section and play trombone.

We will multiply the probability that a member is in the brass section which is 0.50 with the probability that a member plays trombone, given that he or she is in the brass section which is 0.36

= 0.50 * 0.36

=0.18

Therefore the probability that a randomly selected band member is in the brass section and plays trumpet is 0.18

Thus the correct option is D ...