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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

in a concert band the probability that a member is in the brass section is 050 the probability that a member plays the trumpet given that he or she is in the br class=

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federicoferreyra65

Answer: D) 0.18

Step-by-step explanation:

A: plays the trumpet

B: is in the brass section

Using conditional probability, you have

[tex]P(A|B) = \frac{P(A and B)}{P(B)}[/tex]

The given information is

[tex]P(B) = 0.50[/tex]

and

[tex]P(A|B) = 0.36[/tex]

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

[tex]P(A and B)[/tex]

So, according to conditional probability

[tex]P(A and B) = P(A|B) * P(B) = 0.36*0.50 = 0.18[/tex]

Answer:D

Step-by-step explanation:

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