If the star player takes one more shot, some other player must take one less. The fact

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If the star player takes one more shot, some other player must take one less. The fact that the star player’s average success rate is higher than the other players’ does not mean that the probability of making her next shot (the marginal benefit of having her shoot once more) is higher than the probability of another player making her next shot.

Indeed, if the best player took all her team’s shots, the other team would focus its defensive effort entirely on her, in which case letting others shoot would definitely pay. (LO3)

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