Suppose you just purchased a digital music player and have put 10

10 tracks on it. After listening to them you decide that you like 2

2 of the songs. With the random feature on yourplayer, each of the 10

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 beunusual?

(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

10 songs are played.

a) The probablility that you like both songs is:

(Round to three decimal places as needed)

(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

(e) The probability that you like neither song is

(f) The probability that you like exactly one song is