The following project uses the game of Guess Your Card. This is a game in which
ID: 2985945 • Letter: T
Question
The following project uses the game of Guess Your Card. This is a game in which each player draws (without looking) three 3 cards. Each card has a number between 1 and 9 on it. The players then place their cards on their heads so that everyone but the players can see the cards. The object of the game is to guess what cards you have. The first person to do this correctly wins. During the play, each player, in turn, draws a question at random from a stack of questions. The player then answers the question based on the cards that he or she sees not the palyer's cards, which the player cannot see. EXAMPLE Andy has the cards 6,6, and 7
Belle has the cards 3,6, and 7
Carol has the cards 1,1, and 9
Dan has the cards 3,4, and 8
Andy draws the question card, How many sevens do you see? He answers ONE because he cannot see the 7 on his own head, he sees only the 7 on Belles head. Next, Belle draws the question card. Of the four numbers how many different even numbers do you see? She answers THREE because she sees the 4,6, and 8 on Andy and Dan head. Dan now concludes he has two even cards, since he can only see a 6 and Belle sees two more.
SITUATION You are playing Guess Your Card with three 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 car, Do you see two or more players whose cards sum to the same value? He answers YES
Next Belle draws the question card, Of the five odd numbers, how many different odd numbers do you see? She answers ALL OF THEM.
Andy suddenly speaks up and yells I know what I have he says I have 1, 5 and 7.
Write a one to three page paper a 1. SUMMARIZE the salient facts 2. Explain your strategy for solving the problem.
Explanation / Answer
Since Belle sees 1, 3, 5, 7, and 9 and you cannot see 3 and 9, you must have 3 and 9. You also know that your total matches either Belle (16) or Carol (12). Since you know that you have a 3 and a 9 and there are no cards with 0, it is not possible for you to have a total of 12, hence you must have a total of 16. 3 plus 9 is 12 plus 4 is 16, so your cards are 3, 4, and 9. Too bad you didn't figure this out before Andy spoke up and won the game.Related Questions
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