A Study into the Equity of Dice

Overview

The purpose of this experiment was to determine if six-sided, pipped dice are uniformly distributed. I hypothesized that sixes would have a higher probability of being rolled because the six side has more pips and therefore less weight to it. In order to obtain a significantly large sample, I randomly selected ten sets of nine dice. I rolled these a total of 180,000 times (18,000 per set), with which I compared to a single set of casino dice (generally considered fair) that I rolled 18,000 times. I then performed a chi squared goodness of fit test on both the traditional dice and the casino dice to determine if they were uniformly distributed, and a 1-sample p-interval on the proportion of sixes rolled to determine if the data was statistically significant. I discovered that dice rolls are not uniformly distributed (save for the casino dice rolls which were), and that sixes are statistically more likely to be rolled than any other value. This is consistent with my hypothesis because I initially theorized that sixes would be more probable. The results from this experiment are relevant because chance-based activities involving dice are unfair due to the uneven rolling probabilities. ARIZONA

Competition history

• JSHS 2023 Category not listed

Resources

• National JSHS abstract book ↗

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