Na 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

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

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step-by-step explanation: