SOLUTION: 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.
Algebra.Com
Question 717234: 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 /she sees (not the player’s cards, which the player cannot see).
An 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 7’s do you see?” He answers, “One,” because he cannot see the 7 on his own head; he sees only the 7 on Belle's head.
Next, Belle draws the question card, “Of the four even numbers, how many different even numbers do you see?” She answers, “Three,” because she sees the 4, 6, and 8 on Andy and Dan's head.
From this, Dan can conclude he has two even cards, since he can only see a 6 and Belle sees two (2) more.
Situation
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."
I need help understanding what it is that they are looking for? Am I looking for my numbers and which equation needs to be used.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
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.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
The following project uses the game of Guess Your Card. This is a game in which
each... (answered by chessace)
plz help me:
Directions for Q1 to 3:
In a famous short-time game named CROSS, each... (answered by lynnlo)
Card Game. A game is set up as follows: All the diamonds are removed from a deck of... (answered by greenestamps)
In a gambling game a man is paid $3 if he draws a jack or queen and $5 if he draws a king (answered by Edwin McCravy)
An urn contains 3 one dollar bills, 1 five dollar bill and one ten dollar bill. A player... (answered by richwmiller)
Suppose you play a game of chance in which you toss a coin 3 times. You pay a nor... (answered by greenestamps)
last season, a baseball player score 14 runs in 18 games. this season, the baseball... (answered by Tatiana_Stebko)
Skat is a card game that uses a 32-card deck (which can be formed by removing all of the... (answered by Fombitz)
Q: A game of “Quick Draw” is played in a certain casino. In the game, a player chooses a (answered by solver91311)
