Suppose you just purchased a digital music player and have put 10 tracks on it.

Question

Suppose you just purchased a digital music player and have put 10 tracks on it. After listening to them you decide that you like 3 of the songs. With the random feature on your player, each of the 10 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 10 songs are played.

*Round all answers to THREE decimal places*

(a) The probability that you like both songs is ___.

What it be unusual for you to like both of the songs? Yes or No

(b) The probability that you like neither song is ___.

(c) The probability that you like exactly one song is ___.

(d) The probability that you like both songs is ____.

The probability that you like neither song is ____.

The probability that you like exactly one song is ____.

Explanation / Answer

a)  probability that you like both songs is =(3/10)*(2/9)=0.067

No (As it is higher than 0.05 level)

b)probability that you like neither song is =(7/10)*(6/9)=0.467

c) probability that you like exactly one song is =2*(7/10)*(3/9)=0.467

d) probability that you like both songs is =(3/10)*(3/10) =0.09

probability that you like neither song is=(7/10)*(7/10)=0.49

probability that you like exactly one song is =2*(7/10)*(3/10)=0.42

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