contestada

A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 40 ​% 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.

Respuesta :

pedrocarratore

Answer:

3-point shot

Step-by-step explanation:

Assuming that team can only get one shot.

If the coach goes for a three-pointer, there is a 20% chance that they will win the game.

On the other hand, if the coach decides for a two-pointer, the probability that they will win the game is given by the probability of hitting the shot multiplied by the probability of winning in overtime:

[tex]P(W) = 0.40*0.30\\P(W) = 0.12=12\%[/tex]

Therefore, there is a greater chance of winning by trying to make a a​ 3-point shot, thus the coach should go for the 3-point shot

Otras preguntas