Question

A basketball player makes 45% of his 2-point shots and 32% of his 3-point shots. The expected value from a 2-point shot is _________. The basketball player should take a _________-point shot because the expected value is higher.

A) 1-point
B) 2-point
C) 3-point
D) 4-point

Answer 1

The expected value from a 2-point shot is 0.9 points. The basketball player should take a 3-point shot because the expected value is higher.

Step-by-step explanation:

The expected value from a 2-point shot can be calculated by multiplying the probability of making the shot by the number of points earned from the shot. In this case, the probability of making a 2-point shot is 45%. So the expected value from a 2-point shot is 0.45 * 2 = 0.9 points.

The basketball player should take a 3-point shot because the expected value is higher. The probability of making a 3-point shot is 32%, so the expected value from a 3-point shot is 0.32 * 3 = 0.96 points.

Therefore, the basketball player should take a 3-point shot because the expected value is higher.