👉 Dice math, also known as the multinomial coefficient method, is a statistical approach used to calculate probabilities in situations involving multiple categories or outcomes. It generalizes the binomial probability formula to scenarios with more than two possible outcomes, such as rolling dice. The core idea is to count the number of ways to distribute a fixed number of items into distinct categories, which is represented by the multinomial coefficient. This coefficient is calculated as n! / (k1!
k2!
...
km!), where n is the total number of items, and k1, k2,..., km are the counts of each distinct category. By dividing the total number of arrangements (n!) by the factorials of the counts within each category, dice math provides a precise way to determine the probability of specific outcomes when rolling multiple dice or other events with multiple possible results.