Probability Project: Design Your Own Game

2y ago
348 Views
18 Downloads
285.27 KB
6 Pages
Last View : 2d ago
Last Download : 22d ago
Upload by : Xander Jaffe
Transcription

Name:Date:Probability Project:Design Your Own GameIn this assignment, you will be designing your own game on your own in groups of 2. The gameshould be the type of game that you would play at a carnival, amusement park or casino. Itcannot be a game that already exists— your group must create a unique game. Your game does nothave to be fair, but it does have to be honest! You must be able to explain the probability of yourgame, so don’t make it too complicated!Final Products:1. Game – Include all game boards, playing pieces, cards, balls, etc. for your game.COMPLETED AT HOME!2. Instructions - You must create a set of written or typed instructions to clearly explain yourgame. They must be easy to follow so that anyone can pick them up, read them and beginplaying your game.3. Write-Up – See below.Grading:See rubric (next page).The Write-Up1.Introduction - Provide an overview of your game. (1 Per Group) What type of game is it? Where would you play this type of game?2.Instructions - Step-by-Step instructions for how to play the game. (1 Per Group)3.Game Description – What do you need to play the game? (1 Per Group) List all materials needed to play (dice, spinner, plastic darts, ball, etc.) Build your activity or game board. COMPLETED AT HOME!4.Probability Analysis (1 Per Group) What is the theoretical probability of your game? (Include all of the outcomes.) Is the game fair? Explain how you know. If the game is not fair, how could you change the game to make it fair?5.Individual Reflection – (1 Per Person) Complete last 4 pages; write clearly and include details!

Name:Date:PROBABILITY FAIR GRADING RUBRICCATEGORYGameInstructionsGroup ness andOrganizationCitations4Students create afully functioninggame that studentscan play. They bringall of the gamematerials to class.Instructions are clearand easy to follow.The game can beplayed by otherswithout referring tothe game creators forhelp.Group hascomprehensivewrite-up including:introduction,instructions, gamedescription andprobability analysis.The write-up hasbeen thoughtfullyprepared andprovides insight intothe actions of thegroup.Group providesaccurate analysis ofthe math behind theirgame. The idea of afair game is clearlyexplained in terms oftheir project and analternative for makingtheir game fair ispresented.Reflection clearlyexplains studentsthought processduring the project.The relevance ofthe project is clearlydescribed.The work ispresented in a neat,clear, organizedfashion that is easyto read.3Students create a gamethat students can play.There may be slight oversights, but overall the gamecan be played.2Students create agame, but it cannotbe played in class.1Students have an ideafor a game.Instructions are somewhatclear and easy to follow.The game can be playedby others with minimalinteraction with creators ofthe game.Group has writteninstructions butthey are unclearand a verbaldescription of thegame is necessary.Instructions areincomplete.Group has write-upincluding: introduction,instructions, gamedescription and probabilityanalysis. The write-upprovides some insight intothe actions of the group.Group has anincomplete writeup including someof the following:introduction,instructions, gamedescription andprobability analysis.An attempt at a writeup is made.Group provides somewhataccurate analysis of themath behind their game.The idea of a fair gameis explained in terms oftheir project. An attempt atproviding an alternative formaking their game fair ispresented.Group providessome analysis ofthe math behindtheir game. Theidea of fair game ismentioned.Group attempts somesort of analysis of theirprobability.Reflection attempts toexplain students thoughtprocess during the project.The relevance of theproject is described.Reflection attemptsto explain studentsthought processduring the project.Some attempt at areflection is made.The work is presented in aneat and organized fashionthat is usually easy to read.The work ispresented in anorganized fashionbut may be hard toread at times.The work appearssloppy andunorganized. It ishard to know whatinformation goestogether.100% of sourceswere properly cited.75-99% of sources wereproperly cited.50-74% of sourceswere properly cited.50% or less of sourceswere properly cited.

Name:Date:Probability Carnival ReflectionIntroductionIn this section describe your game and how you expected the game to go. Why did you expect it to gothat way? (This is your hypothesis). Be sure to include a definition of theoretical probability in this section.

Name:Date:MethodsGive an explanation of how to play the game. What did you do as the game manager and what did yourparticipants do as game players?

Name:Date:ResultsInclude your raw data in an organized manner here. This should include: how many people played yourgame, how many people won or lost, and any observations you made about how the game was going. Youmay show your data in any way you choose, as long is it can easily be read and interpreted.

Name:Date:AnalysisIn this section you will tell how the game went. Did the experimental probability match the theoreticalprobability? What went well? If anything didn’t go as planned be sure to include what went wrong! Howcould you improve this game if we were going to host a second carnival? (Use extra paper if necessary).

Design Your Own Game In this assignment, you will be designing your own game on your own in groups of 2. The game should be the type of game that you would play at a carnival, amusement park or casino. It cannot be a game that already exists— your group must create a unique game. Your game

Related Documents:

Joint Probability P(A\B) or P(A;B) { Probability of Aand B. Marginal (Unconditional) Probability P( A) { Probability of . Conditional Probability P (Aj B) A;B) P ) { Probability of A, given that Boccurred. Conditional Probability is Probability P(AjB) is a probability function for any xed B. Any

Pros and cons Option A: - 80% probability of cure - 2% probability of serious adverse event . Option B: - 90% probability of cure - 5% probability of serious adverse event . Option C: - 98% probability of cure - 1% probability of treatment-related death - 1% probability of minor adverse event . 5

Probability measures how likely something is to happen. An event that is certain to happen has a probability of 1. An event that is impossible has a probability of 0. An event that has an even or equal chance of occurring has a probability of 1 2 or 50%. Chance and probability – ordering events impossible unlikely

probability or theoretical probability. If you rolled two dice a great number of times, in the long run the proportion of times a sum of seven came up would be approximately one-sixth. The theoretical probability uses mathematical principles to calculate this probability without doing an experiment. The theoretical probability of an event

Engineering Formula Sheet Probability Conditional Probability Binomial Probability (order doesn’t matter) P k ( binomial probability of k successes in n trials p probability of a success –p probability of failure k number of successes n number of trials Independent Events P (A and B and C) P A P B P C

Chapter 4: Probability and Counting Rules 4.1 – Sample Spaces and Probability Classical Probability Complementary events Empirical probability Law of large numbers Subjective probability 4.2 – The Addition Rules of Probability 4.3 – The Multiplication Rules and Conditional P

Target 4: Calculate the probability of overlapping and disjoint events (mutually exclusive events Subtraction Rule The probability of an event not occurring is 1 minus the probability that it does occur P(not A) 1 – P(A) Example 1: Find the probability of an event not occurring The pr

Solution for exercise 1.4.9 in Pitman Question a) In scheme Aall 1000 students have the same probability (1 1000) of being chosen. In scheme Bthe probability of being chosen depends on the school. A student from the rst school will be chosen with probability 1 300, from the second with probability 1 1200, and from the third with probability 1 1500