1) you take a test, and 60% pass the first time and 40% fail.. the second time around, 80% pass the test and 20% fail.. the third time, 90% pass and 10% fail.. a. what is the probability that you fail the 1st or the 2nd time? . b. what is the probability that you fail on the 3rd time? . c. what is the probability you fail? .

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.