Odds tools
Mines calculator
The exact probability of surviving a run of safe picks, the multiplier that would make that bet fair, and what the operator actually pays. The gap between the last two is the house edge, in full view.
The fair multiplier is exactly 1 ÷ probability — the break-even payout if the game had no margin. Casinos pay slightly less (the house edge), which is the gap between the two figures above. The next tile is always riskier than the last; this tool computes the odds of having survived all the safe tiles revealed so far.
The mathematics
Mines is one of the few casino games whose odds can be derived exactly in a line of arithmetic. With m mines hidden among 25 tiles, your first pick is safe with probability (25 − m) / 25. Having survived it, 24 tiles remain and m are still mines, so the next is safe with probability (24 − m) / 24, and so on down.
Multiply those terms for the number of picks you intend to make and you have your survival probability. A mathematically fair payout is its reciprocal: if you survive one time in four, a fair game pays 4×. The operator pays slightly less, and that difference is its margin — see house edge-adjusted payout in the glossary.
What the numbers do not tell you
Every round is independent. A long run of safe picks does not make the next tile safer, and a bad run does not make one due. The expected value of every configuration is the same negative number, and no pattern of play changes it.
Questions
Where do these numbers come from?
Straight combinatorics. On a 25-tile grid with m mines, the chance that your first pick is safe is (25−m)/25; the chance the second is safe is (24−m)/24, and so on. Multiply those together for the probability of surviving a given number of picks. The fair multiplier is simply the reciprocal of that probability.
Why is the operator's payout lower than the fair multiplier?
That gap is the house edge, and it is the operator's entire business model. A fair multiplier returns exactly your expected stake over the long run; the operator pays slightly less, and the difference — typically around 1% — is its margin. The calculator shows both figures so the margin is visible rather than buried in a payout table.
Does a higher mine count give better value?
No. More mines mean a bigger multiplier because they mean a smaller chance of getting it, and the house edge applies to both cases identically. Changing the mine count changes the shape of your results — rarer, larger wins — but not their expected value. There is no configuration of this game that is better than another in the long run.
Can I use this to beat the game?
No. Every tile is independent of every previous round, the calculator has no information about where the mines are, and no sequence of picks has a positive expectation. What it can tell you is precisely what you are being paid for the risk you take, which is worth knowing before you take it.
Odds, not strategy.18+ only. This tool describes the game’s mathematics. It cannot predict outcomes, cannot locate mines, and cannot produce a winning system — the house edge applies to every configuration.