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In math class you are learning about probability. Your assignment is to design a fair game for your classmates to play. Your game idea is for two players and uses the Box Model applet.
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One player is called 24 and the other is called 30. The numbers 1 through 10 are placed in the box. You have the computer pick 20 numbers (a number is replaced after each pick). On each draw, a player scores a point if the number drawn is a factor of your name. On any draw it is possible that both players score a point, only one player scores a point, or no players score a point. Whoever has the most points after 20 draws is the winner.
Play the game with a friend at least 5 times.
Questions:
- Do you agree that it is a fair game?
- What is the probability that 24 will score a point when a number is drawn?
- What is the probability that 30 will score a point when a number is drawn?
- Would the probabilities change if you replaced the number 7 with the number 12?