2. A team is going to play two games. The probabilities to win, lose, or draw the first game are 40%-40%-20% (win-lose-draw). If a team wins the first game, it will become more motivated and the probabilities for the second game will become 60%-20%-20%. If the team loses the first game, the probabilities for the second game will become 20%-60%-20% . If the first game ends in a draw, the probabilities for the second game will remain the same, 40%-40%-20%.

(a) Find the probability to win two games.

(b) Find the probability to win at least one game.

(c) If the team wins the second game, what is the conditional probability that it won the first game?