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?

He scores 1 point if he makes the first free throw, which happens with probability 0.40. He can score a second point only if he makes both the first and second shots, with probability 0.40 × 0.40 = 0.16. The expected points are 0.40 + 0.16 = 0.56, so the answer is 0.56 points.

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