Suppose you just purchased a digital music player and have put 8 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your​ player, each of the 8...

Suppose you just purchased a digital music player and have put

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

of the songs. With the random feature on your​ player, each of the

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

songs are played.