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Multipliers are truncated to 2 decimals (as most Mines engines do), so the realised edge runs a little above the entered base edge depending on mine count and stop point. Every Mines game on RustSnowball is house-banked and provably fair — verify any round at /provably-fair.
With N mines on a 25-tile grid, after K safe clicks the probability that the (K+1)-th click is safe is (25 - K - N) / (25 - K). The cumulative probability of all first K clicks being safe is the product of those terms.
Fair multiplier = 1 / probability. Applying the house edge you enter, the paid multiplier is (1 − edge) × fair multiplier (truncated to 2 decimals, as most engines do). EV per $1 = probability × multiplier, so the long-run edge is the same at every mine count and stop point — only the variance changes.
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