In a small community, a survey on the favorite television programs of 63 housewives was made. Based on the survey, 38 housewives watch musical programs, 27 watch drama anthologies, and 29 watch variety shows. Furthermore, 16 housewives watch both musical and variety shows, 12 watch both drama and musical programs, 8 watch both drama anthologies and variety shows?

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 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 () if a song can be replayed before all 8 songs are played.