Question

Joe plays basketball. There are five seconds left in a big game, and Joe's team is losing by two points. Joe has the ball, and he must decide whether to attempt a two-point basket, in order to tie the game, or attempt a three-point basket, in order to win the game.

Joe knows that he has a 82% chance of scoring a two-point basket and a 65% chance of scoring a three-point basket. What should Joe do to maximize his team's score?
A.
Joe should attempt a two-point basket because because the expected value of attempting a two-point basket is greater than the expected value of attempting a three-point basket.

B.
Joe should attempt a three-point basket because because the expected value of attempting a two-point basket is greater than the expected value of attempting a three-point basket.

C.
Joe should attempt a two-point basket because because the expected value of attempting a two-point basket is less than the expected value of attempting a three-point basket.

D.
Joe should attempt a three-point basket because because the expected value of attempting a two-point basket is less than the expected value of attempting a three-point basket.

Answer 1

@Ultrilliam