Professor Barbara Viola
After evaluating the game of “Guess your Card”, I assume that my cards could only be 4, 5, and 9. I came up with this logic by starting with Andy. I add all three numbers together from each
player. Andy has the cards of 1, 3, and 7 with a sum of 11. Belle has the cards 3, 4, and 7 with a sum of 14, ...view middle of the document...
Next, Belle draw the question card, “of the five odd numbers”, how many different odd numbers do you see? She answer all of them. Only because the only odd numbers she see is from Andy and Carol which are 1, 3, and 7. That's how I came up with the numbers of 5 and 9. I then, add together 5 and 9 which is 14, let's not forget in the beginning I said the sums must add up to either 14 or 18. Since 5+9=14, and the smallest card is 1 so my cards must add up to more than 14. The sum of my cards must be 18. In order for me to find out what is my final card I must subtract 18 from 9 and 5 which gives me 4.
You can also see why Andy knew what cards he had. He realize that the only odd numbers Belle could see from Carol and myself were 5 and 9, but yet she claim she could see all five odd numbers. So the remaining three: 1, 3 and 7 must have come from Andy himself. That's how he figure out what he had.
The logic of “Guess your Card” is “Process of Elimination” with more possibilities being eliminated every time new information comes up.