1. In terms of the law of large numbers, what can we assume about how accurately these career averages reflect the actual abilities of the players?
2. When watching a game many people will say that a given player is "due"for a home run or a hit after a period of uncharacteristically low offense. Let's say Willie Mays is in a slump -- he has made an out the last 10 times at bat. What are his chances of getting a hit? Is he "due" for a hit? Why or why not?