Question

A classical music lover has 8 chamber music tracks (C), 15 operas (O) and 20 symphonies (S). Suppose that 3 of the chamber music pieces, 4 of the operas and 7 of the symphonies were composed by Mozart.

a. If 6 tracks are chosen, find the probability that 2 come from each type: C, O, S.

b. If 2 pieces are chosen from each type C, O, S, find the probability that all 6 of the choices were

composed by Mozart.

c. If 2 pieces are chosen from each type C, O, S, what is the probability that none of the 6 were

composed by Mozart?

Answer 1

Hello Sir/ Mam

Given that:

The event that the chosen music track is Chamber Music Track is C.

The event that the chosen music track is Opera is O.

The event that the chosen music track is Symphony is S.

Let the event that the chosen music track is composed by Mozart is M.

Now,

(a)

(b)

(c)

I hope this solves your doubt.

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