Casino
Mines Probability Calculator
Calculate the chance of making a chosen number of safe selections on an unknown uniformly random mine grid, plus a modeled payout at an entered edge.
Your result
49.56521739%
Probability all entered picks are safe
- Safe cells
- 22
- Consistent gross multiplier
- 1.99736842
- Winning gross return
- $19.97
- Expected net
- −$0.10
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Uniform random mine placement; distinct unrevealed picks and a user-supplied payout edge.
Mines probability without replacement
With N cells, m uniformly placed mines and k distinct chosen cells, all picks are safe with probability C(N−m,k)/C(N,k). Multiply successive safe chances: (N−m)/N, then (N−m−1)/(N−1), and so on. With 25 cells, three mines and five picks, the all-safe chance is about 49.56522%.
For a binary payout model with edge h, the gross multiplier consistent with that probability is (1−h)/p. This does not disclose which cells contain mines, and it does not guarantee that a named game uses that payout mapping.
Unknown mines and previously revealed cells
Every selected cell is distinct and mine placements are uniform in this model. If a safe cell has already been revealed, reduce the remaining grid size and count only further picks. A nonuniform grid, special bonus rule or different paytable needs its actual specification. The tool calculates chance rather than predicts positions.