Suppose you just purchased a digital music player and have put 14 tracks on it.

Question

Suppose you just purchased a digital music player and have put 14 tracks on it. After listening to them you decide that you like 2 of the songs. With the random feature on your player, each of the 14 songs is played once in random order. Find the probability that among the first two songs played (a) You like both of them. Would this be unusual? (b) You like neither of them. (c) You like exactly one of them. (d) Redo (a)-(c) if a song can be replayed before all 14 songs are played. (a) The probability that you like both songs is .

Explanation / Answer

Solution:-
a) (2/14)*(1/13) = 0.011   (YES, unusual as probability is very low)

  

The probability that you like both songs is 0.011

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