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

Respuesta :

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?

[tex]\begin{gathered} Pr=\frac{4}{15}\times\frac{6}{14}\times\frac{3}{13}\times\frac{2}{12} \\ =\frac{2}{455} \end{gathered}[/tex]

Final answer:

2/455