Question: A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 60% chance that the team

A basketball team is down by 2 points with only a few seconds remaining in the game.

There is a 60% chance that the team will be able to make a2-point shot and tie thegame, compared to a 40% chance that it will make a3-point shot and win. Inovertime, the team has a 40% chance of winning. What should the coachdo, go for the2-point shot or the3-point shot? Be sure to identify any assumptions.

Assuming that the outcomes are independent, the coach should have the team go for the 2 point shot.

What is the chance of making the2-point shot and winning in overtime?

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