SOLUTION: A music fan randomly selects 4 CD's from a stack of 35, where 6 are by the same pop artist. What is the probablity that all of the CD's chosen are by that artist?

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Question 5079: A music fan randomly selects 4 CD's from a stack of 35, where 6 are by the same pop artist. What is the probablity that all of the CD's chosen are by that artist?
Answer by rapaljer(4551) (Show Source):
You can put this solution on YOUR website!
This is a classic combination problem, where in this probability, the denominator is the total number of ways that 4 CD's can be chosen from 35. One of several ways to write this is C(35,4).

The numerator is the number of ways that the fan can choose 4 out of the 6 by the artist, and none out of the other 29 CD's. Numerator = C(6,4)* C(29,0). These can easily be calculated with a cheap scientific calculator, or you can spend some time doing it by arithmetic:
C(35,4) = 52360
C(6,4) = 15
C(29,0) = 1

= =

R^2 at SCC