Dice Analysis Code: Generating Skewed 2D6 and 2D10 Probability Distributions with Matrices, Figures, and Simulations

This repository contains the code used to design and analyse custom dice sets that produce asymmetric probability distributions, where lower numerical outcomes are more likely and higher outcomes are increasingly rare. The scripts include: Generation of candidate 2D6 and 2D10 dice face-value combinations. Computation of all possible pairwise sums to create outcome matrices. Simulations to test monotonicity of summed outcomes. Visualisation of frequency distributions through bar plots and matrices. Implementation of polynomial generating functions to validate distributions.