What are the gambling games in the “Black Box” edition of Basic D&D?

I have a vague memory of my father teaching me about dice probabilities from a “mini-game” within the Black box set, at the beginning of being in jail in the salt mines. The other prisoners, is willing to gamble with me, but we use different combinations of dice to see who will roll the higher number. From what I can remember it was from the Escape from Zanzer Tem’s dungeon adventure.

I’m looking to find what exactly those combinations of dice were, and what the rules of the gambling game were.