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Assignment 1: Logic Application

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This is a game in which each player draws (without looking) three cards. Each card has a numbers 1 to 9 on the cards. The players then place their cards on their heads so that everyone but themselves can see the cards. The object of the game is to guess what cards you have on your head. The first person that guesses this correctly wins the game. During the play, each player, inturn, draws a question from a stack of question randomly but in turn. The player then will answer that question based on the cards that they see ( not their own cards , which they can’t see).

In this problem Andy has three cards: 1, 5, and 7 Belle has three cards as well 5, 4, and 7. Also Carol has three cards too she has 2, 4, and6, Belle draws the question card that says “ Of the five odd numbers how many do you see?” and she said “I see all of them.” From that I can determine that I have a 3, and a9 on my head because I do not see them on anyone else‘s head. Andy says “I know what three cards that I have on my head they are 1,5,and 7” Andy drew the question “Do you see two or more players whose cards sum to the same value?” to which he answered “Yes” . Andy’s cards sum to 13, Belle cards sum to 16 and Carol’s cards sum is 12. Therefore my cards must equal the sum of one of those numbers. My cards cannot sum to 12 like Carol’s because I need to have a third card on my head, so therefore my cards must equal 13 or 16. My cards cannot equal the sum of 13 because Andy said that he has a 1, 5, and a 7 on his head because he does not see a 1 on anyone else’s head. Therefore the remaining cards on my head must be a 4 to sum to 16 the same as Belle’s. The cards that I have are 3, 4, and9 which is the equal the sum of 16.

You just have to use logic when handing out the playing card’s realizing that you are working with number 1 to 9 you have even and odd numbers that you are playing with. You can see your opponent’s cards but not yours it’s all about thinking and using logic. The logic is “Process of elimination”, with more possibilities being eliminated every time new information comes up for a different player.

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