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Manhattan GMAT Probability Question

Expert replies
by pkw209 » Wed Feb 17, 2010 4:36 pm
A brief explanation would be great. Thanks!

Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, there are 2 cards in the deck that have the same value.

Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?

A) 8/33

B) 62/165

C) 17/33

D) 103/165

E) 25/33

Answer is C
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Source: — Problem Solving |