# Using Coding To Simulate a Fair Game

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This activity leads students through the development of a Scratch program of a fair game. The results are not intuitive, which leads to the discussion in Part 2 of the activity.

While the game seems as if it should be fair, we show that the game board would need to be infinite for the probabilities of the three players winning to be equal. To fully understand the results, students should be familiar with basic probability facts. We compute the probability of an event (for example, a color wheel coming up red) k times in exactly N turns. Since N is finite, and usually small when we use a real color wheel or die, the probabilities are skewed.

Key terms: probability, simulation, scratch, snap, programming coding
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10 pages
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