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Math 104 Logic Application

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Week 3 Assignment 1: Logic Application
James R. Johnson
Professor Robert Grier
Math 104
24 October 2013

I am playing Guess Your card with Andy, Belle, and Carol. The point of this game is to guess what cards you have and the first to accomplish this wins. Each player has to draw three cards without looking and place them on their heads. The cards have a number on them between 1-9. During each play, the players have to draw a question from the questions deck. The player then answers the questions based on what they see.
During the game, Andy draws 1, 5, and 7. Belle drew 5, 4, and 7. Carol drew 2, 4, and 6. Andy’s question card asks if he sees two or more players whose cards sum to the same value. He replies, “Yes.” Belle’s draws a question card asking, “Of the five odd numbers, how many do you see?” See says all of them. Andy then states, “I know what I have.” “I have 1, 5, and 7.”
Even with the given information, I still don’t know my card numbers. I will solve this problem by finding the terms not given. Based on the variables I do have, we know that Andy and myself have all the odd numbers because Carol’s numbers are even. Andy has 1, 5, and 7, which leave 3 and 9 with me. By referring back to Andy’s question, we are able to find that my remaining number is 4. I’m able to find this out because Belle’s numbers total 16, Carol’s numbers total 12, and my to given numbers are 3 and 9. The only number that could be my third number and total 16 is 4.
In conclusion, I was able to determine my card values with logically by using the given information. I was able to effectively use critically thinking while

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