A playoff game of the Toronto Raptors basketball team depends on the health of their key player. According to his doctor's report, there's a 50 percent chance that he will be fully fit to play, a 30 percent chance that he will be somewhat fit to play, and a 20 percent chance that he will be unfit to play at all. The coach estimates the chances of winning at 75 percent if the player if fully fit, 40 percent if he is somewhat fit, and 15 percent if he's unable to play. What is the probability that the Raptors will win this game