Assignment 1: Logic
Problem: You are playing Guess Your Card with three (3) other players. Here is what you see:
Andy has the cards 1, 5, and 7
Belle has the cards 5, 4, and 7
Carol has the cards 2, 4, and 6
Andy draws the question card, “Do you see two (2) or more players whose cards sum to the same value?” He answers, “Yes.”
Next Belle draws the question card, “Of the five (5) odd numbers, how many different odd numbers do you see?” She answers, “All of them.”
Andy suddenly speaks up. "I know what I have," he says. "I have a 1, a 5, and a 7."
Write a one to three (1-3) page paper in which you:
Summarize the salient facts of the problem.
Explain your strategy for solving the problem.
Present a step-by-step solution of the problem.
Clearly state your answer.
Answer: The salient facts of this problem are that we are playing with a deck of cards 1-9. Andy is holding 1, 5 and 7. Carol is holding 2, 4 and 6. Belle is holding 5, 4 and 7. During Andy’s turn, he answers his question by saying that two or more of the three player’s cards that he can see has equal sums. Belle then begins her turn by answering her question saying that out of the 5 odd numbers, she can see all of them. At the beginning of the game, I did not realize we were playing with a deck of cards with multiples of each number. Instantly, I used deductive reasoning to claim that I had 3, 8 and 9 since those were the only three numbers that were not being held up. But that was too simple, so instead of shouting it out that I figured it out, I waited to start the game. Andy draws his question from the random deck and he answers it by saying that the sum of two or more player’s cards are equal to each other. Since Andy cannot see his cards, my attention is drawn to Belle’s and Carol’s. Belle is holding a 5, 4 and 7 giving her the sum of 16. Carol is holding 2, 4 and 6 giving her the sum of 12. The sums of their cards do not match, so I know that my cards will equal either 12 or
Andy has the cards 1, 5, and 7
Belle has the cards 5, 4, and 7
Carol has the cards 2, 4, and 6
Andy draws the question card, “Do you see two (2) or more players whose cards sum to the same value?” He answers, “Yes.”
Next Belle draws the question card, “Of the five (5) odd numbers, how many different odd numbers do you see?” She answers, “All of them.”
Andy suddenly speaks up. "I know what I have," he says. "I have a 1, a 5, and a 7."
Write a one to three (1-3) page paper in which you:
Summarize the salient facts of the problem.
Explain your strategy for solving the problem.
Present a step-by-step solution of the problem.
Clearly state your answer.
Answer: The salient facts of this problem are that we are playing with a deck of cards 1-9. Andy is holding 1, 5 and 7. Carol is holding 2, 4 and 6. Belle is holding 5, 4 and 7. During Andy’s turn, he answers his question by saying that two or more of the three player’s cards that he can see has equal sums. Belle then begins her turn by answering her question saying that out of the 5 odd numbers, she can see all of them. At the beginning of the game, I did not realize we were playing with a deck of cards with multiples of each number. Instantly, I used deductive reasoning to claim that I had 3, 8 and 9 since those were the only three numbers that were not being held up. But that was too simple, so instead of shouting it out that I figured it out, I waited to start the game. Andy draws his question from the random deck and he answers it by saying that the sum of two or more player’s cards are equal to each other. Since Andy cannot see his cards, my attention is drawn to Belle’s and Carol’s. Belle is holding a 5, 4 and 7 giving her the sum of 16. Carol is holding 2, 4 and 6 giving her the sum of 12. The sums of their cards do not match, so I know that my cards will equal either 12 or