1.In a basketball game, your team is two points behind and there are only a few seconds before the end of the game. You are the best player, and you have the ball now. You can take a shot from three-point land or move up and take on from two-point land.Historically, you have a 40% probability of getting the shot in from three-point hand and a 70% probability of getting the shot in form two-point land.
Should you try for the three-point shot, or should you try for the two-point shot? Note that a two-pointer produces a tie and puts you into overtime. We assume your team has a fifty-fifty chance of winning in overtime.