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 20% chance that it will make a 3-point shot and win. In overtime, the team has a 30% 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 than the chance of making the 3-point shot.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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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 20% chance that it will make a 3-point shot and win. In overtime, the team has a
30% 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
than the chance of making the 3-point shot.
Transcribed Image Text: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 20% chance that it will make a 3-point shot and win. In overtime, the team has a 30% 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 than the chance of making the 3-point shot.
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