View Full Version : Puzzle

10-29-2002, 03:48 PM
You are playing a game where each round you and your opponent draw one card from the deck. If both cards are red, you win that round - if both are black your opponent wins, if one of each color it is a tie. You win the first round on a fair, completely randomized deck. What are the odds that you will be ahead once all the cards are played from that deck?

10-29-2002, 03:51 PM
You should always end up with a tie.


10-30-2002, 03:15 AM
0% since it will always end in a tie. The hands with opposite colors consist of an equal number of reds and blacks, so there must be an equal number of matching reds as matching blacks since there are an equal number of reds and blacks in the deck.