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Cards on My Head

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Strayer University | Assignment 2 | Cards on my Head | Professor KagenMath 104 | Joshua White | 12/20/2012 |

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Andy, Carol, Belle and I are playing guess my cards. Each player draws three cards out of a deck and each card has a number between 1 and 9. Each player must place their cards on their heads without looking at your cards. Every other player can see your cards and you cans see the others cards. Every person draws a set of questions to ask of the other players. You use the answer to the questions to gain clues about the cards you have. The objective is to guess what cards you have stuck to your head.
I can see Belles, Andy’s, and Carol’s cards. Belle’s cards are 3, 4, and 7. The sum of Belle’s cards equal to 14. Carol has 4, 6, and 8. The sum of her cards equal to 18. Andy has 1, 3, and 7. His cards equal to 11. I ask Andy if he can see 2 or more player whose cards sum to the same value? His reply was “yes”. That tells me that the sum of my cards come up to either 14 or 18. I can see Belle has a total of 14 and Carol has a total of 18. Andy can’t see his cards. I than ask Belle of the 5 different odd #’s how many do you see? Belle tells me that she can see all of them. Andy has a 1, 3, and 7, which are all odd numbers. Belle has a 3 on her head but, she can’t see her cards. Carol does not have any odd numbers. We both see 1, 3, and 7; that tells me that I must have 5 and 9 because there the only to odd numbers missing from the numbers 1 through 9. Based off the answer from Andy’s question; two set of cards sum to the same total. I know that I have a 5 and 9 which sum to 14. I still have to guess what my third card is. I know the total of my cards has to be more than Belle’s because she has a total of 14. Carol has a total sum of 18 so we both should have the same total. That tells me that my last card must be 4.

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