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On a game show, there are five boxes, each of which contains a prize. Each box has two locks on it, and to open the box

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On a game show, there are five boxes, each of which contains a prize. Each box has two locks on it, and to open the box and win the prize a player must have both keys to that box. All ten keys are placed in a bowl and a player will draw four keys. If each lock/key combination is unique, what is the probability that a particular player will win at least one prize by drawing four keys?

A. 2/5
B. 11/21
C. 13/21
D. 2/3
E. 16/21


OA C

Source: Veritas Prep