Guess Your Card

382 Words2 Pages
The card game, Guess Your Card, is a game, which four players choose three cards without looking at them. Each card has the numbers between one and nine. The players are prohibited to see the cards they have. The object of the game is for players to guess what cards they have. Each player randomly chooses a question from a dealt stack and answers the question based on the cards they can see. The first person to guess correctly wins the game. In the given situation, I am playing with Andy, Belle, and Carole. Andy has the cards 1, 5, and 7; Belle has the cards 5, 4, and 6; and Carol has the cards 2, 4, and 6. Andy chooses the card that asks, “Do you see two or more players whose cards sum up to be the same value?” He replied, “Yes.” This implies that of the players, Belle, Carol, and I, two of us have cards that sum up to be the same value. Bells cards have a total sum of 16 and Carol’s cards have a total sum of 12. Belle draws the next question card, “Of the five odd numbers, how many different odd numbers do you see?” She replies, “All of them.” This implies that of Andy Carol and I, we have the cards 1, 3, 5, 7, and 9. Using the given facts, I am able to determine the cards that I have. Using the information obtained from Andy’s question card, I am able to conclude that because Carol and Bell’s cards do not have the same sum, my cards must have the sum equal to Carol, 12 or Belle, 16. From Bells question card I am able to conclude that since Carol has all even cards 2, 4 and 6 and Andy has odd numbers 1, 5 and 7, I must have the cards 3 and 9. Since 3+9=12 and I are still missing a card, I cannot have the same sum as Carol. I assume the same cards as Belle which is the total sum of 16. The remaining card must be a four because 3+9+4 equals 16. Using logic and the given information, I was able to conclude that I have the cards 3, 9 and

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