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5-6-13 Evaluating Games of Chance EQ: How do you determine if a game is fair?

5-6-13 Evaluating Games of Chance EQ: How do you determine if a game is fair? . BOP - EOG REVIEW DAY 1. -5. A. Check handouts from Friday. Check definitions in Study Guide Students who were absent Friday Need to make a study guide and Turn in work from last week. .

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5-6-13 Evaluating Games of Chance EQ: How do you determine if a game is fair?

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  1. 5-6-13 Evaluating Games of Chance EQ: How do you determine if a game is fair? BOP - EOG REVIEW DAY 1 -5 A

  2. Check handouts from Friday. Check definitions in Study Guide Students who were absent Friday Need to make a study guide and Turn in work from last week.

  3. Put this definition in your study guide… bias Bias means that you would be inclined to pre-pick the outcome of a situation based on your own situation, culture, or experiences.

  4. You will need a separate sheet of paper to record your classwork. MATCH/NO-MATCH Questions to think about Do you think this is a fair or unfair game? Are both players equally likely to win? What sorts of things might bias our results?

  5. April and Tioko invented a two-player spinner game called Match/No-Match. How to play the game: For each turn you will spin the spinner twice. If both spins land on the same color (a match), then Player A scores 1 point. If the two spins land on different colors (a no-match), then Player B scores 2 points. Each player takes 12 turns. For each turn, use labsheet 1.1 to record the color pair, for example, blue -yellow. Award points to the appropriate player.

  6. Collect the data from every pair. Combine all the data to determine the experimental probability of the entire set of data.

  7. QUESTIONS TO ANSWER Use the results you collect to find the experimental probabilities for a match and a no-match. B. 1. List all the possible outcomes of a turn. (2 spins) 2. Use the possible outcomes to determine the theoretical probability of a Match and a no-match. 3. Are the outcomes equally likely? That is, does each outcome have the same chance of occurring? C. Compare the experimental and theoretical probabilities. Is the Match/No-Match a fair game? If it is fair, explain why. If it is not fair explain how the rules can be changed to make the game fair.

  8. What are all the possible outcomes of one turn in this game? Blue - blue Blue - yellow Yellow - blue Yellow - Yellow

  9. What is the theoretical probabilities of getting a match? What is the theoretical probability of getting a no-match? How do these theoretical probabilities compare to the experimental probabilities? They should be close!

  10. If the game were played 100 times, how many points would Player A expect to get? Since the probability of a match is ½, player A would expect to win 50 times and score 50 points. How many points would player B expect to get? Player B would expect to win 50 times and score 100 points.

  11. Exit Summary: In your study guide on page L2, describe the experiment we did in class and explain why the Match/No-Match is not a fair game. Homework- In your study guide, summarize today’s experiment, Match/No-Match. Math 7+ Workbook pages 210 and 212 Math 7 Workbook pages 81 and 82

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