Larry and Earvin are both trying to predict the outcome of 5 basketball games. Suppose that Larry predicts a game correctly with probability 0.6 and Earvin predicts a game correctly with probability 0.7 a) What's the probability that at least one of Larry and Earvin predict all 5 games correctly? b) What's the probability that Larry predicts at least 3 games correctly?

c) If Earvin predicts 3 games correctly, what is the probability that he correctly predicted more games than Larry?