Mines calculator
Choose the number of mines and how many tiles you plan to open. The calculator shows the chance of getting that far and the multiplier at the RTP of your game.
Optional. Pick a casino and a title, and the calculator uses the RTP in our data for it. Only titles with an RTP figure are listed.
A generic value. Change it to the RTP your game shows.
Mines: 3. Safe tiles on the board: 22.
Mines multiplier for every tile
| Safe tiles | Chance | Multiplier | Next tile safe | Reached about |
|---|---|---|---|---|
| 1 | 88.00% | 1.13x | 87.50% | 1 in 1.1 |
| 2 | 77.00% | 1.29x | 86.96% | 1 in 1.3 |
| 3 | 66.96% | 1.48x | 86.36% | 1 in 1.5 |
| 4 | 57.83% | 1.71x | 85.71% | 1 in 1.7 |
| 5 | 49.57% | 2.00x | 85.00% | 1 in 2 |
| 6 | 42.13% | 2.35x | 84.21% | 1 in 2.4 |
| 7 | 35.48% | 2.79x | 83.33% | 1 in 2.8 |
| 8 | 29.57% | 3.35x | 82.35% | 1 in 3.4 |
| 9 | 24.35% | 4.07x | 81.25% | 1 in 4.1 |
| 10 | 19.78% | 5.00x | 80.00% | 1 in 5.1 |
| 11 | 15.83% | 6.26x | 78.57% | 1 in 6.3 |
| 12 | 12.43% | 7.96x | 76.92% | 1 in 8 |
| 13 | 9.57% | 10.35x | 75.00% | 1 in 10.5 |
| 14 | 7.17% | 13.80x | 72.73% | 1 in 13.9 |
| 15 | 5.22% | 18.98x | 70.00% | 1 in 19.2 |
| 16 | 3.65% | 27.11x | 66.67% | 1 in 27.4 |
| 17 | 2.43% | 40.66x | 62.50% | 1 in 41.1 |
| 18 | 1.52% | 65.06x | 57.14% | 1 in 65.7 |
| 19 | 0.87% | 113.85x | 50.00% | 1 in 115 |
| 20 | 0.43% | 227.70x | 40.00% | 1 in 230 |
| 21 | 0.17% | 569.25x | 25.00% | 1 in 575 |
| 22 | 0.04% | 2,277x | board cleared | 1 in 2,300 |
How a mines multiplier is built
The board has 25 tiles. The chance that all your picks are safe is the number of ways to choose them from the safe tiles, divided by the number of ways to choose them from all tiles. The multiplier is the RTP divided by that chance.
Worked example
With 3 mines and 5 picks there are 26,334 safe combinations out of 53,130, a chance of 49.57%. At an RTP of 99.00% the multiplier is 0.99 ÷ 0.4957 = 2.00x.
Tower games use the same step by step arithmetic with a fixed number of tiles per row, covered by the towers calculator. The chance of clearing a whole board is in the max win calculator, and road crossing games work the same way in the chicken road calculator. The game itself is explained on the Mines page with its multiplier table.
What the mines calculator does not know
- It does not know where the mines are. Their positions are fixed before the first pick and stay hidden until the round ends.
- It assumes a 5×5 board. Titles with a different grid or with extra features pay by their own table.
- Games round the multiplier they display, so the last digit can differ from the one shown here.
Questions about mines odds
How many mines give the best return?
None. The expected return is the RTP for every number of mines and every number of picks. More mines means bigger and rarer wins.
What is the chance that the first tile is safe?
With 3 mines it is 88.00%: 22 safe tiles out of 25. Each safe pick leaves one safe tile fewer, so the next pick is a little riskier.
How big is the multiplier for clearing the board with one mine?
At 99.00% RTP it is 24.75x, because the chance of opening all 24 safe tiles is 4.00%.
Why does my game show a lower multiplier than a friend sees elsewhere?
The RTP differs between titles. With 3 mines and 5 picks a game at 99.00% pays 2.00x, and one at 97.00% pays 1.96x.