Question

. . 1 Question Help A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 70% chance that the team will be able to make a 2-point shot and the the game, compared to a 50% chance that it will make a 3-point shot and win. In overtime, the team has a 40% 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 Assuming that the outcomes are the coach should have the team go for the shot. The chance of making the 2-point shot and winning in overtime is %, which is making the 3-point shot. dependent disjoint independent

Answer 1

Assuming that the outcomes are independent.

Assume that the percentages are for anybody's shooting, and that overtime percentages are not a function of fatigue one way or the other. This is a mathematical construct; the type of play that is set up and executed may not take place, each play has its own probability and the shooter does, too.

If they make a 2-pointer, with 70% probability, they go into overtime and have a 40% chance of winning. If the two shots are independent (as assumed), the product, 28%, is the probability of winning. There is a 50% probability of making the winning 3-point shot, and that is a better chance.

Thus the team should go for 3-point shot.

The answers are:

independent

3-point

28%

Less

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