In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score? 0. 064 0. 24 0. 56 0. 80.

Shaqquille's expected value is 0.56 points.

Step-by-step explanation:

Situations:

1) he makes 1st shot + he makes 2nd shot

P(A) = 0.4 · 0.4 = 0.16  ( 16 % )

2) he makes 1 st shot + he misses 2nd shot

P(B) = 0.4 · 0.6 = 0.24   ( 24 % )

3) he misses 1st shot and he has no more attempts

P (C) = 0.6 ( 60 %)

0.16 · 2 + 0.24 · 1 + 0.6 · 0 = 0.32 + 0.34 = 0.56

The expected value is 0.56 points.

good luck!

cutie~