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# Casino game

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Our casino Game Project

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### Casino game

1. 1. You Spin Me Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
2. 2. Right Round Elysia Ramirez Alejandra Mendoza Joe Pemberton Trevor Fox Table of Contents Rules and Regulations 3 Thorough Rules 3 Get Started! 4 Probability Analysis 5 How Did This Game Come to Be? 5 Probability and Possibility Calculations 5 Branching Probability Chart 6 Expectation Values 7 What is an Expectation Value? 7 How do you find an Expectation Value? 7 2 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
3. 3. Terms You Should Know 8 Expectation Value Matrix 8 What is you loss, our profit? 8 Construction Notes 9 Materials 9 Measurements 9 Game Wheel Facts 10 Construction Conclusion 11 Jobs 12 Rules and Regulations for… You Spin Me Right Round Thorough Rules 3 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
4. 4. There are 16 slots on the wheel. Out of those 16 slots, 12 are blue, 3 are red, and 1 is black. You have to pay twenty five cents to spin the wheel. If it lands on blue you don't get your money back. If it lands on red we double your money (fifty cents). If it lands on black we triple your money (seventy five cents). Slots on Wheel: Sixteen Color of Slots: Blue, Red, Black Get Started! 1. Pay twenty five cents to the broker. 2. Spin the wheel of 16 slots 3. If you get a Blue slot, you lose your money! 4 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
5. 5. 4. If you get a Red slot, we double your money!! 5. If you get a Black slot, we triple your money!!! Get Ready…Set…Go! Probability Analysis 5 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
6. 6. How Did This Game Come To Be? To figure out a profitable game we first had to invent the game, including the rules, regulations, prizes, and consequences. Once we had our game down, we figured out what the probability was of getting a blue, red, or black out of 16 slots after you spin it. We put this information in chart format. (Below) Probability and Possibility Calculations Branching Probability Chart In order to make this easier to understand we decided to create a Branching Probability Chart. This chart really explains 3 scenarios that can happen: 6 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
7. 7. You can spin and get a Blue. You can spin and get a Red or… You can spin and get a Black. Remember, each one of these scenarios has a probability: Blue, 12/16 Red, 3/16 Black, 1/16 Also remember the prizes: Blue, don’t get your money back Red, we double the money you paid Black, we triple the money you paid Expectation Value What is and Expectation Value? 7 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
8. 8. An Expectation Value is your result at the end of a game. For example, if your Expectation Value is negative then it is most likely you will lose playing the game, but if it is positive then you are most likely to win the game. Take in mind that this Expectation Value becomes more accurate as you play more times. How to find an Expectation Value? To find the expectation value we had to find t h e probability of getting blue, red, and black. We then found the payoff of those and multiplied it with the probability to find out the value of losing, winning double, and winning triple. Then we took these values and added them together to find the Expectation Value of the game. 8 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
9. 9. Terms You Should Know What is your loss, our profit? Well, this Expectation Value Matrix was made from your perspective, so you are likely to lose four cents every time you play. Once again, I say likely because the more you play the game that more accurate to losing four 9 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
10. 10. cents you will get. On the other hand, we actually make low profit: we earn four cents every time someone plays. Construction Notes Materials: perfectly round wheel, wooden board, plastic flap, nails, blue felt, red felt, and black felt Game Wheel Facts: 16 slots - 12 blue - 3 red 10 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
11. 11. - 1black Measurements: Radius of Wheel: 14.75 in. Area of Circle: pi x (radius) 2 Area of Wheel: 3.14 x (14.75 in) 2 3.14 x 217.5625 in = 683.15 in 2 Area of a Slot: area of wheel ÷ total # of slots 683.15 in 2 ÷ 16 = 42.7 in 2 Area of Wheel: 683.15 in 2 Area of a Slot: 42.7 in 2 11 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
12. 12. Construction Conclusion: The construction of the casino game project named quot;You Spin Me Right Roundquot; is simple yet very effective. It consists of a wheel that is organized and nailed with only the finest building materials and supplies. The wheel is perfectly round and is not weighted on any of the sides giving the game a fair balance and causing our expected value to be more accurate. The wheel is joined with a wooden board attached to a plastic flap. The wheel is covered in felt and has 16 blue, red, and black slots on it. The construction took a few days to start because of the collection of materials, but in general the product turned out very clean and professional. 12 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
13. 13. Jobs Document Master - Elysia Ramirez -Rules of You Spin Me Right Round Analyst - Alejandra Mendoza -Figures out all the possibilities and probabilities of the game Actuary - Joe Pemberton -Adjusts payoff matrix and figures expected value 13 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT
14. 14. Contruction Expert - Trevor Fox -Builds game wheel and calculates area 14 Trevor Fox Wednesday, May 20, 2009 2:17:03 PM PT