A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 50% chance that the team will be able to make a 2 point shot and tie the game, compared to a 40% chance that it will make a 3 point shot and win. In overtime, the team has a 50% chance of winning. What should the coach do, go for the 2 point shot or the 3 point shot? Be sure to identify any assumptions

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