Calculated odds

Mines: probability of each tile and fair multiplier

Choose the number of mines: here is the probability of revealing each safe tile in a row, the multiplier that would be fair and what the game really pays.

In short

With 3 mines among 25 tiles, the first tile revealed is safe 88.0% of the time.

Revealing 5 safe tiles in a row with 3 mines: 49.57%, or one chance in 2.0.

Fair multiplier after 5 tiles: x2.02; with an RTP of 97.0%, the game pays x1.96.

Every figure is calculated by DropCashCasino from the rules of the game; none is copied.

Game settings

The RTP is given in the game’s rules or information. Starting value: 97%, as an example.

Safe tiles in a row with 3 mines

Tiles revealed Probability 1 in Fair multiplier Multiplier with an RTP of 97.0%
1 88.00% 1.1 x1.14 x1.10
2 77.00% 1.3 x1.30 x1.26
3 66.96% 1.5 x1.49 x1.45
4 57.83% 1.7 x1.73 x1.68
5 49.57% 2.0 x2.02 x1.96
6 42.13% 2.4 x2.37 x2.30
7 35.48% 2.8 x2.82 x2.73
8 29.57% 3.4 x3.38 x3.28
9 24.35% 4.1 x4.11 x3.98
10 19.78% 5.1 x5.05 x4.90
11 15.83% 6.3 x6.32 x6.13
12 12.43% 8.0 x8.04 x7.80

25-tile grid. Probability of k safe tiles: C(25 − m, k) ÷ C(25, k). The real multiplier depends on the RTP stated by the game.

The calculation

The grid has 25 tiles. With m mines, the first tile revealed is safe with a probability of (25 − m) ÷ 25, the second (24 − m) ÷ 24, and so on: the probabilities multiply. With 3 mines, revealing 5 safe tiles in a row happens only about once in two.

Fair multiplier and paid multiplier

A fair multiplier would return exactly the bet on average: it is the inverse of the probability of revealing all those tiles without hitting a mine. The game pays that multiplier multiplied by its RTP; the difference is the house edge.

Cashing out early or late changes nothing on average

Cashing out after one tile or after ten gives the same average return: the RTP. More mines or more tiles revealed only make wins rarer and bigger. No tile is “safer” than another: each draw places the mines at random.

Play responsibly

Each round is played in a few seconds. Set a budget and a time limit before you play, and stop when the limit is reached. If gambling is no longer fun, see the responsible gambling page: it lists helplines for each country.

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