Mines Calculator
Survival odds and the multiplier at every step.
| Tiles | Chance | Multiplier | Payout |
|---|---|---|---|
| 1 | 88.00 % | 1.13 × | 113 ₽ |
| 2 | 77.00 % | 1.29 × | 129 ₽ |
| 3 | 66.96 % | 1.48 × | 148 ₽ |
| 4 | 57.83 % | 1.71 × | 171 ₽ |
| 5 | 49.57 % | 2.00 × | 200 ₽ |
| 6 | 42.13 % | 2.35 × | 235 ₽ |
| 7 | 35.48 % | 2.79 × | 279 ₽ |
| 8 | 29.57 % | 3.35 × | 335 ₽ |
| 9 | 24.35 % | 4.07 × | 407 ₽ |
| 10 | 19.78 % | 5.00 × | 500 ₽ |
| 11 | 15.83 % | 6.26 × | 626 ₽ |
| 12 | 12.43 % | 7.96 × | 796 ₽ |
| 13 | 9.57 % | 10.35 × | 1,035 ₽ |
| 14 | 7.17 % | 13.80 × | 1,380 ₽ |
| 15 | 5.22 % | 18.97 × | 1,897 ₽ |
| 16 | 3.65 % | 27.11 × | 2,711 ₽ |
| 17 | 2.43 % | 40.66 × | 4,066 ₽ |
| 18 | 1.52 % | 65.06 × | 6,506 ₽ |
| 19 | 0.87 % | 113.85 × | 11,385 ₽ |
| 20 | 0.43 % | 227.70 × | 22,770 ₽ |
| 21 | 0.17 % | 569.25 × | 56,925 ₽ |
| 22 | 0.04 % | 2277.00 × | 227,700 ₽ |
How it works
Mines hides a set number of bombs among 25 tiles. Every safe tile you open makes the next one riskier, because the mines stay put while the pool of unopened tiles shrinks. The chance of opening k safe tiles in a row is the product of (25−M−i) ÷ (25−i) for i from 0 to k−1.
The multiplier is set at RTP ÷ that chance, so cashing out early and grinding deep have exactly the same expected value — about −1% of your stake per game at 99% RTP. What actually changes is variance: three tiles pays often and small, fifteen tiles almost never pays at all.
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How the Mines Calculator works
Mines hides a set number of bombs among 25 tiles, and every safe tile you open raises both the multiplier and the risk. This free Mines calculator gives the exact probability of surviving each step, the fair multiplier at every stage and the expected value of the game.
The math behind each safe tile
The mines stay where they are while the pool of unopened tiles shrinks, so the odds get worse with every pick. With M mines, the chance of opening k safe tiles in a row is the product of (25−M−i) ÷ (25−i) for i from 0 to k−1. With 3 mines the first pick is safe 88% of the time, but surviving ten picks in a row happens only about 20% of the time.
The payout multiplier is set at RTP ÷ that survival chance, usually with a 1% house edge. That is why the ladder climbs so steeply: the multiplier is simply the reciprocal of a probability that is collapsing.
When should you cash out?
Mathematically, it does not matter. Because the multiplier is derived from the survival probability, cashing out after three tiles and cashing out after fifteen carry the same expected value — roughly −1% of your stake per game. There is no optimal stopping point to find, which is the opposite of what most Mines 'strategies' claim.
What your choice does control is variance. Few tiles with many mines pays small and often; many tiles pays almost never but pays big. If you want to see what that variance does to a bankroll over hundreds of games, run it through the Monte-Carlo simulator or check risk of ruin. The same combinatorial math drives keno odds.
FAQ
How do you calculate Mines multipliers?expand_more
Multiplier = RTP ÷ P(k), where P(k) is the chance of opening k safe tiles in a row: the product of (25−M−i)/(25−i) for i from 0 to k−1.
What is the best number of mines in Mines?expand_more
There is no best number for expected value — every setting has the same house edge. More mines means bigger, rarer payouts; fewer mines means smaller, more frequent ones.
Is there a winning Mines strategy?expand_more
No strategy changes the expected value, because the multipliers are priced off the exact survival odds. Strategies only reshape your variance.