Question

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?

Answer 1

\[1\times 0.4+1\times .4^2\] should do it

Answer 2

assuming the events are independent, which seems unlikely in real life, but i guess is possible