In baseball, when a player gets a "hit" that hit may be either a Single, Double, Triple, or Home Run.

Here are the probabilities.

• P(Single) = 0.6586
• P(Double) = 0.2376
• P(Triple) = 0.0205
• P(Home Run) = 0.0833

Again, these probabilities are for those times the player gets a hit. That is, if the player gets a hit, the probability that the hit was a single is 0.6586, the probability that the hit was a double is 0.2376, etc.

1. What is the probability that for a player who get two hits, both will be home runs?
2. What is the probability that for a player who gets three hits, none of them will be a single?
3. Suppose that a player comes up to bat twice in a game (i.e. they have made two attempts at getting any kind of hit). What is the probability that they will not get any kind of hit at all in both attempts?