GRE

简答题In college basketball.a player awarded a “one-and-one” gets to shoot one free throw and,if successful,shoot a second one.Each successful free throw is worth one point.Suppose a player succeeds at free throws 80%of the time.On average,how many points should thisplayer expect to score for each one-and-0ne?

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D.
The player might earn one point by making the first shot(80%chance) and failing the second(20%chance).The likelihood of this is 0.8×0.2=0.16.The player might also earn two points by making both shots.with a likelihood of 0.8 × 0.8=0.64.The average expected number of points per one.and.one awarded is thus 0.16×1+0.64×2=1.44.