Answer:
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Step-by-step explanation:
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Answer:
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Answer:
This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.
Step-by-step explanation:
We have these following probabilities:
A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning.
A 30% probability of making the 3 point shot and winning.
What should the coach do, go for the 2 point shot or the 3 point shot?
In which case the team has a higher probability of winning?
The team has:
A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning. So, going for the 2 point shot, the team has a 0.6*0.6 = 0.36 = 36% probability of winning.
Going for the 3 point shot, the team has a 30% probability of winning.
This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.