Bunuel wrote:
Sixty percent of the members of a university orchestra are seniors and 45 percent of those seniors are in the university band. If one member of the university orchestra is randomly selected, what is the probability that the member is a senior band member?
(A) 0.15
(B) 0.27
(C) 0.30
(D) 0.45
(E) 0.75
Out of 100 members of a university orchestra, 60 are seniors and 40 are juniors.
Since, 45% of the seniors are in the university band,
the number of seniors in the band are \(\frac{45}{100}*60 = \frac{9}{20}*60 = 27\)
Therefore, the probability that a member is a senior band member is \(\frac{27}{100}\) =
0.27 (Option B)
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