Monday, November 3 ~ Expected value and fair games Monday, November 10 ~ Simulation Monday, November 17 ~ Two-way frequency tables
- Due Monday, November 10
Required work
- Read Book 1 Investigation 12 "The World at Your Fingertips,"
Book 1 Investigation 13 "Mystery Spinners"- Develop a two-player game using dice, coins, cards, or some other readily available manipulative.
Describe the rules of the game in sufficient detail for another person to understand how the game is played.
Determine whether the game is "fair" or not by by analyzing the probabilities of the events in the game.
If possible, modify your game so that it is "fair" to both players.
Optional work
- Repeat part (b) for another game, or for an existing game.
- Due Monday, November 17
Required work
Read Book 2 Investigation 3 "Thumb Thing in the Distance"
and Book 2 Investigation 4 "Predictable Pairs"- Simulate the dice game "Hog."
- Roll from 1 to 10 dice a total of ten times each, and record the score resulting from each roll.
- Compute the average score per number of dice rolled.
- Construct two scatterplots of the individual and average scores against the number of dice rolled.
- E-mail your individual and average scores to me (tshort@iup.edu) by 12:00 Noon Monday, November 17.
- After examining your individual and average rolls, write a paragraph explaining which number of dice produces the highest expected or average score. Refer to specific evidence in your data to support your position.
Optional work
- Repeat part (b) above for a different game. You may use a game you make up or an existing game.
- Try to compute the true expected score for each number of dice rolled in Hog. Compare the true expected scores to the average scores you obtained by simulating.
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