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Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4 by Bach, 6 by Beethoven, 3 by Brahms, and 2 by Handel. If she selects 4 CDs randomly from her collection without replacing them, what is the probability that she will choose one by each composer?A. 2/5625 B. 16/455 C. 16/5625 D 2/455

1 Answer

3 votes

SOLUTION:

Case: Probability

Method:

4 by Bach

6 by Beethoven

3 by Brahms

2 by Handel

Total = 4+6+3+2

Total = 15

If she selects 4 CDs randomly from her collection without replacing them, what is the probability that she will choose one by each composer?


\begin{gathered} Pr=(4)/(15)*(6)/(14)*(3)/(13)*(2)/(12) \\ =(2)/(455) \end{gathered}

Final answer:

2/455

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