Wiki Page, Geometry Applications of Probability: Probability Project

Wiki Page
2022-07-05T14:51:30-06:00

Directions

This is an extra credit project in Module 3. You want to start working on it immediately with a partner (only pairs unless we have an uneven number and then one group of 3). It might seem overbearing now but by the end you will have it! There is an example at the end of the directions.

Design a carnival game for inclusion in the upcoming Georgia State Fair. Be sure to be creative and realistic. Do not make up a game that cannot be made and played. Think – State Fair…

1. Create a game and name it – be sure to list all group members under the game name

1. Video you playing your game – your game should be able to be played in class. Bring in everything you need to play it.

2. Include a report with your model that details the following items. Place A and C on one page and then each letter on a different page (piece of paper). Turn your project in with A first, then C, then D, etc.

3. Rules of the game

1. Clearly states the rules, which are easy to understand, and cover all possibilities.

2. Your game must include at least two actions or rounds.

3. Make sure your game is playable by the rules you set.

4. Set the cost, the goal is to make money on your game but it has to entice the players!

4. Experimental

1. Play your game all the way through at least 20 times

2. Use those results to find your probability for every outcome.

3. Show the recording of all the results and how you calculated probability.

5. Theoretical

1. Create a tree diagram showing the probabilities for all events and outcomes.

2. Determine the probability of each event in playing the game.

3. For skill games (ask if you don’t know) complete the following.

4. Try each needed skill 100+ times (show your chart of results)

1. Use the results for the probability of each skill

2. Create a summary chart and show how you calculated probability

3. This is two pages if skill based: Tree Diagram and Summary Chart

4. You may need to not count misses (retry) to simplify your probability.

6. Prizes and how to earn the prizes

1. Lists prizes with cost and how they are won in a chart (Prize, cost, won).

7. Expected payoff

1. Gives YOUR correct expected payoff (make money) and how it was calculated.

2. Use your experimental probability to find your expected payout.

3. Give the expected payoff from YOUR perspective for playing 1 game.

4. Show all your work!

8. Expenses

1. Correctly computes and calculates expense total for the game.

2. Research and record the cost of anything (prizes, materials) needed for the game.

3. Be sure to figure out expected number of prizes, materials you will need for 500 games.

4. Use the experimental probability to find your expected number of prizes.

9. Profit

1. Correctly computes the profit (income – expenses) from your perspective.

2. Calculate your expected profit if 500 people play your game at the carnival.

10. Why the game should be selected for the carnival

1. Clearly addresses WHY people would want to play the game and WHY it should be in the carnival. Checked for grammar, spelling, punctuation and must be 5 sentences.

Here is the example. You can't use this game for your own - but keep yours simple!

Probability Project Example.pdf