Brain Teasers
Card Games
Ted, Uriah, and Victor played some card games against each other, each with only one winner. Here are some facts:
1. No one won two games in a row.
2. When a player was a dealer for a game, he did not win that game.
3. The deal went from Ted to Uriah to Victor, then the cycle started again until they stopped playing.
4. Only one player won more than two games, and this player did not win the first game.
Who won more than two games?
1. No one won two games in a row.
2. When a player was a dealer for a game, he did not win that game.
3. The deal went from Ted to Uriah to Victor, then the cycle started again until they stopped playing.
4. Only one player won more than two games, and this player did not win the first game.
Who won more than two games?
Answer
Victor won more than two games.Here is a list of possible scenarios from facts 1 and 2. From fact 3, we know the dealers for each game. You will notice that they all end when a player wins three games. T represents Ted, U represents Uriah, and V represents Victor.
Game: 1 2 3 4 5 6 7
Dealer: T U V T U V T
Winners in 1: V T U V T U V
Winners in 2: U T U V T U
Winners in 3: U V U V T U
Winners in 4: U V T V T U V
Winners in 5: U V T U T U
Winners in 6: U V T U V U
Winners in 7: U V T U V T V
Winners in 8: U V T U V T U
Scenarios 1, 2, 3, 5, 6, and 8 contradict fact 4 by having the winner of the first game win three games. The only two remaining scenarios, 4 and 7, both have Victor winning three games.
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