Exact mines math for the 25-tile game: multiplier, win chance and payout for every mines × gems combination, plus an interactive click board. 99% RTP formulas, fully client-side.
The 25-tile mines game is pure combinatorics. With m mines hidden on a 5×5 board, the chance of revealing k safe tiles in a row is C(25−m, k) ÷ C(25, k) — the number of ways to pick k tiles from the safe ones, over all ways to pick k tiles. The payout multiplier is simply 0.99 divided by that probability, so every possible cashout point prices at exactly 99% expected value.
Because the multiplier is derived from the win chance, the expected value of cashing out is identical at every step: 99 cents per dollar wagered, whether you stop after one gem or chase twenty. What changes is variance — more gems means a bigger multiplier that you hit far less often.
The full matrix below covers every legal combination: 1–24 mines down the side, 1–24 revealed gems across the top. Cells past the diagonal (more gems than safe tiles exist) are impossible and shown as dashes. Switch between multiplier, win chance and dollar payout views; the current mine count and revealed-gem count from the interactive board are highlighted.
Win chances below 0.01% are printed with two significant digits instead of being rounded to "0.00%" — the rarest reachable cashout on a 25-tile board is roughly 0.000019% (24 mines, reveal the single safe tile is 4%, but low-mine full-board clears get astronomically unlikely the other way).
Yes. The multiplier at every step is 0.99 divided by the probability of reaching that step, so multiplier × probability = 0.99 at every cell of the matrix. Cashing out early does not beat the house edge — it only trades a large rare win for a small frequent one.
No. Mines positions come from the casino’s provably-fair RNG and are unknowable before reveal. This page computes the exact mathematics of the paytable — what each cashout point pays and how likely you are to reach it.
That 1% is the house edge. A fair game would pay 1 ÷ probability; the casino pays 0.99 ÷ probability and keeps the difference. It is the same 99% RTP most mines implementations publish in their game rules.
Mathematically there is no "best" — every configuration has the same 99% RTP. Fewer mines give long low-variance sessions with small multipliers; more mines give short high-variance sessions with large multipliers. Pick the variance profile that fits your bankroll, not a mythical edge.