...| Game of Guess Your Card | Math 104 Algebra with Applications | | [Type the author name] | 12/8/2012 | [Type the abstract of the document here. The abstract is typically a short summary of the contents of the document. Type the abstract of the document here. The abstract is typically a short summary of the contents of the document.] | The Crazy Card Game with Logic Application The guess your card game I just wonder why are we playing this game are we that bored. Or maybe we are stranded in a cabin in the mountains in a snow blizzard or something of that nature. No we are playing this game because our nutty professor say’s we have too. Just joking Professor Crossley just trying to make light of the situation and add a bit of humor I’m sure you will agree so laugh and enjoy. Ok back to the guess your card game in which each player draws three cards without looking at the three cards they have chosen. Each card has a number between 1 and 9 on it. Then my opponents place their cards on their heads so that all of us but themselves can see the cards. Our objective is to guess what cards we have ourselves. The first person to do this wins the game I guess I don’t see any other great prize we will receive for performing this task enough with that on with the show. During the playing of the game, each player, in turn, draws a question at random from a stack of questions. Then each player answers the question bases on the cards that they see not their own cards because...
Words: 546 - Pages: 3
...Assignment 1 The Logic Application Dr. Keva Yarbrough Detra Lawrence Math 104 February 27, 2013 Assignment 1 The Logic Application One of the greatest strengths in math is it concerns with the Logic proof of its given proposition. Any Logical system must start with some undefined terms, definition, and axioms. There are many ways you can analyzed certain numbers or statistics. In this essay, we learned the outcome solving problems using concepts from the set theory and logic of the situation. This is a game call Guess Your Cards which is played by four players. Each player has to draw three cards 1 through 9 dealt face down and then places it on their heads so that everyone but the player can see the cards. We find that Player 1 Andy has won the game by answer to the card from the question deck. By the given information Andy has a sum of 13. Belle has a sum of 16. Carol has the sum of 12. Since Andy question was “Do you see two or more players with same value,” he replied yes. Belle question was asked “out of the five odd numbers do you see all different odd number,” she replied saying I see all odd numbers. Andy is the only player who Belle sees who has odd number of cards which is 1, 5, and a 7 which leads player 4 with the missing odd numbers of a 3 and 9. Since 3 and 9 sums to 12, and player 4 is missing its third card this lets us know player 4 number will value to Belle sum which is 16 and player four will have a 4 as its third card. With all numbers...
Words: 606 - Pages: 3
...Logic Application: Guess Your Card Jeffrey Self Professor Mune Lokesh Math 104 Algebra With Applications 19 June 2013 In my scenario I am sitting around the kitchen table with three friends and we decide to play the game Guess Your Card. My friends explain to me that in this game each of us in turn will blindly draw three cards from a partial deck of cards. This deck has had all cards above 9 removed, and for this game’s purposes aces are only equal to 1. Without looking at my cards I am to place them facing out on my forehead so the other players can clearly see the cards. Each of the other players is to do the same. The object of the game is to guess which cards you have on your own head using logic to solve the problem. Players draw question cards that reveal information about player cards, and the first to guess their cards based on the information revealed wins the game. My brother Andy has the cards 1, 5, and 7 showing on his forehead. His wife Belle has 5, 4, and 7. My girlfriend Carol has the cards 2, 4, and 6. Andy is selected to draw the first question card, and it asks if he sees two or more players who’s cards sum to the same value. Andy answers affirmatively. With this information I know that I must have cards that equal either 12 or 16. I know this because Belle’s cards sum to 16 and Carol’s cards sum to 12. Since Andy sees two of us with cars of the same value I am able to confirm that my sum must match either Belle’s or Carol’s. At this point none of us...
Words: 652 - Pages: 3
...Logic Application Project Written By: Mrs. Tangela Wright Professor: Ms. Terry Clark Course Title: Algebra With Applications Date: March 2, 2012 The question that has been asked to be solved during this logic application project is as follows: “ What Cards do I hold.” In completing the answer to this question one must remember the following “ An Experiment is an observation on any physical occurrence. The sample space of an experiment is the set of all it’s possible outcomes.” I must say that since I am not a person that enjoys playing card cards. I would have to look at this information the same way that I would look at and have taught my daughter (9) to play Domino’s. In solving this problem one most look at all the information that has been provide and be sure to write this information on paper so that you will be able to look at the complete picture and us the variables that have been provided in order to solve the problem. One can say that the strategy to solving this problem could be one of two methods. You could use “Process of Elimination” or Probabilities of Unions and Intersection new information has been reveled about the cards that the other players have. You would need to keep that information in mind and use it to solve the situation to uncover that cards that you may be hold just like in the 1st example. My conclusion as to what cards, I have in this game of chance are the following 5, 9 and 4. I am able to get to this...
Words: 447 - Pages: 2
...Algebra with Application December 4, 2011 The problem What cards do I have in a guessing game with each card labeled one through nine? This game is being played with three friends and we can only see what each other have since when we draw the cards it goes on our heads without us seeing what we draw. We have to use logic and math to figure what card(s) we have on our heads. The approach I would use inductive reasoning to solve this problem. This would allow me to logically reason and reach conclusions based on the observations. This means I can look at the cards on my friends head, calculate how much of each number is present in the deck and probability that of me drawing one of the same card my friends have or a different card. In this game I would be using a lot of conjecture; because the evidence is uncertain or incomplete. Conclusion The recommended course of action was to use logic. The type of logic I recommend and used was inductive .Inductive reasoning was useful by using conjecture to find out what cards I had on my head. Another recommendation is to know the amount of each number so that I was able to calculate the probability of drawing a card that one of my three friends has or entirely different cards. I was able to generalize by making individual observation by paying keen attention to my three friends. Solutions Details This would be solved for example there are 4 of each number 1 through 9 giving us a total of 36 cards. Andy, Belle...
Words: 392 - Pages: 2
...Players are Andy, Belle, and Carol. Each player have different cards, the cards are placed on their heads so that they can't see them. The whole idea of the game is to pick a card, from the deck that ask a random question. Each cards has a number between 1 and 9. A logic must be used to find the answer. Each player has three shown card. The player answers the question based on the cards that they see, not their own cards or the ones not shown. Example is Andy has the cards 6, 6, & 7 Belle has the cards 3, 6, & 7 Carol has the cards 1, 1, & 9 Dan has the cards 3, 4, & 8 The situation is Andy has cards 1, 3, 7 Belle has cards 3, 4, 7 Carol has cards 4, 6, 8 Andy draws the first card, the cards ask does they have the same value? Andy cards is 1 + 3 + 7 = 11 Belle cards sum is 3 + 4 + 7 = 14, and Carol cards are 4 + 6 + 8 = 18. Therefore they don't have the same value. Andy's sum is 11, Belle's is 14, and Carol's is 18. So the cards must add up to 14 or 18. Belle draws the second card, asking how many odd numbers is there? The only cards Belle see of Andy and Carlo's is 1, 3, 7. So you must have 5 and 9. 5 + 9 = 14. Thinking the sum must be 14 or 18, there is still a 1 left, so it must be more than 14. Since the sum of Carol's card is 18. A third card is 18 - 9 - 5 = 4. So Andy's card is 4, 5, 9. Conclusion: Andy realized the only odd cards Belle could use in Carols hand was the 5 and 9. So the only cards left was 1, 3, and 7, which had to come from Andy, so that is...
Words: 529 - Pages: 3
... Logic Application 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, and Carol has the cards 4, 6 and 8 with a sum of 18. Since each player have a different sum I took the players with the highest sum which is Belle and Carol to see which player cards would add up with my cards. 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...
Words: 342 - Pages: 2
...Assignment 1: Logic Application Andy, Belle, Carol, and I are playing the game Guess Your Card. In the game, each person draws three cards without looking from a stack of cards containing contain multiple cards ranging in denomination from one to nine. Each person then places the cards on his or her forehead so that all of the other players can see the others’ cards, but cannot see their own. There is also a stack of questions that each person draws from in turn. These questions help the players deduct the identities of their own cards. We have shuffled the deck and each player has drawn three cards and placed them on their own forehead. Andy has drawn 1, 5, and 7; Belle has drawn 5, 4, and 7; and Carol has drawn 2, 4, and 6. Obviously I cannot see my own cards. Andy draws the first question, which asks, “Do you see two or more players whose cards sum to the same value?” To which he answers, “Yes.” Belle’s turn is next. Her card asks, “Of the five odd numbers, how many different ones do you see?” She responds, “All of them.” With these two questions, I am able to deduce which cards I have. After Andy drew the first question, “Do you see two or more players whose cards sum to the same value?” I added up Belle’s and Carol’s cards to see if theirs sum to the same total. Belle’s cards (5,4,7) add up to 16. Carol’s cards (2,4,6) add up to 12. Since Belle’s and Carol’s cards do not add up to the same amount, I can conclude that my cards add up to either 16 or 12. The next question...
Words: 608 - Pages: 3
...three game cards I have in my possession. This means picking up cards that ask certain questions in order to figure out the cards. Each card includes any certain question that may be used to determine who has what card. Such questions include: Do you see two or more players whose cards sum to the same value?; How many 7s do you see?; or Of the four even numbers, how many different even numbers do you see?. Each player draws a question card until one has figured out what three cards they have attached to their head. I will use the process of elimination to determine which three cards I have. To determine which cards I possess, I need to look at my fellow players cards. I will first rely on Andy’s question card. He was asked if there are two or more players whose cards sum to the same value and he replied yes. I will add each of Belle’s cards together to get the sum and then I will add each of Carol’s cards to get the sum. After I determine each player’s card value, I will be able to tell which player’s cards have the same value. Next, I will use Belle’s question card. She was asked, “Of the five odd numbers, how many different Odd numbers do you see?” She replies, “All of them.” Belle only sees the odd cards, 1, 3, and 7 from Andy and Carol. Because of this, I can determine the first two cards that I have. To determine the last card, I will first find the sum of the two cards that I do know. Finding the sum will help to inform me if I am one the players that has cards containing...
Words: 737 - Pages: 3
...ARTIFICIAL INTELLIGENCE Paper Presentation On “Artificial Intelligence(AI)” INDEX :1. ABSTRACT. 1 ARTIFICIAL INTELLIGENCE ARTIFICIAL INTELLIGENCE 2. INTRODUCTION. 3. HISTORY OF AI. 4. CATEGORIES OF AI. A. CONVENTIONAL AI. B. COMPUTATIONAL INTELLIGENCE (CI). 5. FIELDS OF AI. 6. AAAI. 7. APPLICATIONS. ABSTRACT This paper is the introduction to Artificial intelligence (AI). Artificial intelligence is exhibited by artificial entity, a system is generally assumed to be a computer. AI systems are now in routine use in economics, medicine, engineering and the military, as well as being built into many common home computer software applications, traditional strategy games like computer chess and other video games. We tried to explain the brief ideas of AI and its application to various fields. It cleared the concept of computational and conventional categories. It includes various advanced systems such as Neural Network, Fuzzy Systems and Evolutionary computation. AI is used in typical problems such as Pattern 2 ARTIFICIAL INTELLIGENCE ARTIFICIAL INTELLIGENCE recognition, Natural language processing and more. This system is working throughout the world as an artificial brain. Intelligence involves mechanisms, and AI research has discovered how to make computers carry out some of them and not others. If doing a task requires only mechanisms that are well understood today, computer programs can give very impressive performances on these tasks. Such programs should...
Words: 1713 - Pages: 7
...Programming Logic and Design, 6th Edition Chapter 6 Exercises 1. a. Design the logic for a program that allows a user to enter 10 numbers, then displays them in the reverse order of their entry. Answer: A sample solution follows Flowchart: Pseudocode: start Declarations num index num SIZE = 10 num numbers[SIZE] = 0,0,0,0,0,0,0,0,0,0 getReady() while index < SIZE getNumbers() endwhile finishUp() stop getReady() index = 0 return getNumbers() output “Enter a number for position ”, index input numbers[index] index = index + 1 return finishUp() output “The numbers in reverse order are: ” while index > 0 index = index – 1 output numbers[index] endwhile return b. Modify the reverse-display program so that the user can enter up to 10 numbers until a sentinel value is entered. Answer: A sample solution follows Flowchart: Pseudocode: start Declarations num index num SIZE = 10 num numbers[SIZE] = 0,0,0,0,0,0,0,0,0,0 string CONTINUE = “Y” string moreNumbers = CONTINUE getReady() while index < SIZE AND moreNumbers equal to CONTINUE getNumbers() endwhile finishUp() stop getReady() index = 0 output “Do you want to enter a number? (Y/N)” input moreNumbers return getNumbers() output “Enter a number for position ”, index input numbers[index] index = index...
Words: 4366 - Pages: 18
...Assignment 1 logic application In this paper I will summarize the salient facts of the "guess your card game" and explain my strategy in solving this problem. In doing so, I will respond to each player's comment and apply a strategy of process of elimination and logical deduction to establish new facts and reach conclusions. First when Andy responds "yes" to the question "do you see two or more players whose cards sum the same value," this is revealing. The sum of Belle's cards equal 16 (5+4+7=16). Carols cards sum up to be 12 (2+4+6=12). Since Andy cannot see his own cards he obviously cannot factor his own cards into his conclusion. As a result of this, I can deduce that I must be holding cards that equal either 16 or 12. Next, after Belle draws her question card, "of the five odd numbers, how many different odd numbers do you see?" and proclaims that she see's "all of them." The game contains the numbers 1 through 9. This means that the five odd numbers are 1,3,5,7 and 9. Andy has 1, 5 and 7, Belle has 5,4 and 7 but cannot see her own cards, and Carol has 2,4 and 6. Out of the odd numbers, only Andy has any visible to Belle. Since Andy has 1, 5 and 7, but Belle claims she can see all odd numbers, this must mean I have 3 and 9. 3+9=12 and since I still have one unidentified card to add to my total, and my total equals either 12 or 16 that unidentified card must be a 4. Lastly, Andy knows what numbers he has right away based on the answer to the second question...
Words: 337 - Pages: 2
...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...
Words: 316 - Pages: 2
...Logic Application Michael Minor Strayer University Mat104 March 7, 2012 Dr. Raymond Chen I am playing a game of Guess Your Card with three other people. The cards are numbered 1 through 9 and each player is dealt three cards face down. Each player then places their cards on their heads so everyone but themselves can see their cards. From my perspective, Andy has the cards 1, 3, and 7; Belle has the cards 3, 4, and 7; and Carol has the cards 4, 6, and 8. We all must determine what cards are on our heads by the answers to the cards from a deck of questions. Andy draws the question “Do you see two or more players whose cards sum to the same value?” to which he answers “Yes.” Since the sum of Belle’s cards is 14 and the sum of Carol’s cards is 18, this tells me that my cards add up to either 14 or 18. Belle draws the question “Of the five odd numbers, how many different odd numbers do you see?” and answers “All of them.” This tells me that I have a 9 and a 5 on my two of my cards since I can only see a 1, 3, and 7 from my viewpoint. Since I must have a sum of either 14 or 18 on my cards and 9+5=14, I can deduce that the total sum of my cards must be 18 and my final card must be a...
Words: 252 - Pages: 2
...Logic Application With this game the players are card counting in a since. It’s a process of elimination. They know what is in there hand and a card that is in the opponents hand. Knowing that there are cards numbered from 1-9 you start by taking out what is in your hand and the cards that are located on each person’s forehead. Then listening to key questions you will be able to come up with an answer. So Andy draws the first question: Andy draws the question card, “Do you see two or more players whose cards sum to the same value?” He answers, “`yes.” Sum of Belle's cards = 5 + 4 + 7 = 16 Sum of Carol's cards = 2 + 6 + 4 = 12 Since these have different sums, but Andy sees at least two players whose cards have the same sum, then your cards must add up to either 12 or 16 -------------------- Next Belle draws the question card, “Of the five odd numbers, how many different Odd numbers do you see?” She answers “All of them.” The only odd cards that Belle sees from Andy and Carol are 5, 7 So you must have 5 and 7 -------------------- 5 + 7 = 12 You know that sum of your cards = 12 or 16 Since 5 + 7 = 12, and smallest card is 1, then your cards must add to more than 12 Sum of your cards = 13 Third card = 13 - 7 - 5 = 1 Your cards: 1,5,7 So if a person listens to the clues that that are being asked and applies those questions to what they already know with what the hold in there hand they will be able to come up with the unseen card that...
Words: 311 - Pages: 2
