Gerald and Tony are taking penalty shots. Gerald kicks each penalty goal with probability 0.5, while Tony kicks each penalty goal with probability 0.33. Gerald goes first. If Gerald scores a goal and then Tony misses, then Gerald wins. If Gerald misses a shot and then Tony scores, then Tony wins. If they either both score or both miss in the first round, then they continue and each kick again until somebody wins.

1. What is the probability that the game ends on the N-th round? and What is the probability that Gerald wins the game?

2. What is the probability that the game ends eventually is 1.00?