A softball team has three pitchers, A ,B, and C, with winning percentages of0.4, 0.6, and 0.8 respectively. These pitchers pitch with frequency 2, 3 and 5 out of every 10games respectively. In other words, for a randomly selected game, P(A) = 0.2,P(B) = 0.3 and P(C) = 0.5. Let W denote the event that the team wins a game, and find:

1.P(team wins game) =P(W)

2.P(A pitched gameteam won) =P(A|W)