1. Suppose that your team is behind by two points and you have the ball on your opponent's court with a few seconds left in the game. You can try a two-point shot (probability of success is .48) or a three-point shot (probability of success is .29). Which choice gives your team the greater probability of winning the game? Assume that your shot will be taken just before the buzzer sounds and that each team has the same chance of winning in overtime.
2. Fred remembers all but the last character of the password for his e-mail account. However, he knows that it is a digit. He tries to log into his account by guessing the digit. What is the probability that Fred will be successful within two attempts?