Players in sports are said to have "hot streaks" and "cold streaks." For example, a batter in baseball might be considered to be in a slump, or cold streak, if that player has made 10 outs in 10 consecutive at-bats. Suppose that a hitter successfully reaches base 37% of the time he comes to the plate.

Find the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events. Hint: The hitter makes an out 63% of the time.

In repeated sets of 10 consecutive at-bats, the hitter is expected to make an out in all 10 at-bats about how many times out of 1000?