Topic
Survival probabilities, fair multipliers, house edge and expected value, with every number computed and re-checked.
The exact chance of surviving k picks on a 25-tile mines board, from the formula C(25-m,k)/C(25,k), with full tables for 1, 3, 5 and 10 mines and a worked calculation.
How mines multipliers are priced: the fair multiplier is 1 divided by the survival chance, and a house edge scales it down. Tables for 3 and 5 mines, a worked check and a checklist.
Expected value explained for mines, with the algebra and a 20,000-session simulation showing every mine and pick combination loses the same 1% on average. Only the swings differ.