Winna Mines Calculator
Per-tile probability for Winna Mines, on their published 2.00% house edge. There is no optimal stopping point: every reveal carries the same EV, so the only thing you are choosing is variance.
Presets:
Configuration
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Live Odds
Next tile safe
88.00%
0 revealed · 3 mines · 22 safe tiles remain
Current multiplier1.0000x
Cash out now$5.00
Survived this far100.00%
Winna house edge2.00%
Every cash-out point on this board returns the same 100.00% of your stake on average. Revealing more tiles buys variance, not expectation.
Full paytable
| Revealed | This tile safe | Survived all | Multiplier | Cash out |
|---|---|---|---|---|
| 0 | 100.00% | 100.0000% | 1.0000x | $5.00 |
| 1 | 88.00% | 88.0000% | 1.1136x | $5.57 |
| 2 | 87.50% | 77.0000% | 1.2727x | $6.36 |
| 3 | 86.96% | 66.9565% | 1.4636x | $7.32 |
| 4 | 86.36% | 57.8261% | 1.6947x | $8.47 |
| 5 | 85.71% | 49.5652% | 1.9772x | $9.89 |
| 6 | 85.00% | 42.1304% | 2.3261x | $11.63 |
| 7 | 84.21% | 35.4783% | 2.7623x | $13.81 |
| 8 | 83.33% | 29.5652% | 3.3147x | $16.57 |
| 9 | 82.35% | 24.3478% | 4.0250x | $20.12 |
| 10 | 81.25% | 19.7826% | 4.9538x | $24.77 |
| 11 | 80.00% | 15.8261% | 6.1923x | $30.96 |
| 12 | 78.57% | 12.4348% | 7.8811x | $39.41 |
| 13 | 76.92% | 9.5652% | 10.2455x | $51.23 |
| 14 | 75.00% | 7.1739% | 13.6606x | $68.30 |
| 15 | 72.73% | 5.2174% | 18.7833x | $93.92 |
| 16 | 70.00% | 3.6522% | 26.8333x | $134.17 |
| 17 | 66.67% | 2.4348% | 40.2500x | $201.25 |
| 18 | 62.50% | 1.5217% | 64.4000x | $322.00 |
| 19 | 57.14% | 0.8696% | 112.7000x | $563.50 |
| 20 | 50.00% | 0.4348% | 225.4000x | $1127.00 |
| 21 | 40.00% | 0.1739% | 563.5000x | $2817.50 |
| 22 | 25.00% | 0.0435% | 2254.0000x | $11270.00 |
How Winna Mines math works
P(this tile safe) = (25 − mines − revealed) / (25 − revealed). With 3 mines and 0 revealed that is 22/25 = 88%.
P(survive r reveals) = C(25−mines, r) / C(25, r).
multiplier(r) = 0.980 × C(25, r) / C(25−mines, r). The 0.980 factor is Winna's published 2.00% house edge. That is 1.0% less per payout than a 1.00% Mines board pays on the same reveal.