tags: - colorclass/probability theory ---A probability simplex is a geometric object that represents all possible distributions over a finite set of outcomes. For (K) outcomes, the simplex is a (K-1) dimensional space, where each point on the simplex is a vector ((p_1, …, p_K)) representing probabilities associated with each outcome, such that (\sum_{i=1}^{K}p_i = 1) and all (p_i \geq 0).