slide hex dice

thingiverse

Rolling a six-sided die can be as simple as swiping a hexagon-shaped cube across a flat surface, but when it comes to testing its fairness, things get a lot more complicated. To determine whether a die is truly random, you'll need to conduct a thorough analysis of its behavior over time. One way to do this is by using a statistical test called the "hex dice test." This involves rolling the die many times and keeping track of the results to see if they conform to what we would expect from a perfectly fair die. A fair six-sided die should have an equal chance of landing on any of its faces, so if you roll it 36 times (six sides multiplied by six faces), each number should appear roughly nine times. But if your die is biased, the numbers might not appear as evenly as we'd like. To test for bias, you can use a technique called "binning." This involves dividing up all of the possible outcomes into categories and then counting how many times each category occurs. In this case, the six faces of the die represent our bins. Once you've collected your data, you'll need to compare it to what we'd expect from a perfectly fair die. If your results are significantly different from what we'd expect, that could be a sign that your die is biased.