So this is what I've spent the last 2 weeks on. In reality, 10 days were wasted on figuring out the probabilities of each of the combinations. There was probably an easier way to do it, but I made a giant tree chart. If you're wondering why two pairs are worth less than a single one, it turns out that the probability of two pairs is relatively high due to there only being 6 sides to choose from. In fact, having no pair ("All unique") is actually only a 1.54% chance, making it one of the rarest combinations. For reference: Two pairs ($1): 34.7% One pair ($2); 23.1% Triplet ($4): 15.4% Triplet and pair ($5): 15.4% Three pairs ($60): 3.86% 4 of a kind ($70): 3.86% All unique ($200): 1.54% 4 of a kind and pair ($400): 0.965% Two triplets ($1,500): 0.643% 5 of a kind ($5,000): 0.386% 6 of a kind ($500,000): 0.012%
