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Matching pairs (Posted on 2002-04-23) Difficulty: 3 of 5
A standard deck of 52 cards is shuffled, and we take cards from its top in pairs.

If both are of a red suit, I take both cards. If both are black - you take them. If they are different colors - we put them in the discard pile.

If at the end of the deck you have more cards than I, I will pay you a dollar.

If I have more cards, or if we have the same amount of cards, I pay you nothing.

What is a fair "admission price" to play this game?

(from techInterview.org)

See The Solution Submitted by levik    
Rating: 3.5714 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
i got it! | Comment 3 of 5 |
odds are 50/50 in the first draw that you will even win the initial draw, which will determine the likelihood the final outcome. with every further draw, depending on your luck in the first draw penalizing you in two of the three possible outcomes; reds, or off color, with that said the odds stacking against you after every draw  making the payout even more unattainable , 5 of 6 possible outcomes would not pay. so fair admission on thosedds would be .133 dollars or even 105-110% of the .133 dollars depending on the bookie! 
  Posted by nick lygnos on 2006-03-08 14:08:54
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