Mines Odds: 5 Mines on a 5×5 Board
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A five-mine board makes the trade-off between another pick and a larger potential payout visible quite early. A round can still last many selections, but the survival chance compounds at every step.
Use the cumulative column when comparing a planned number of picks. The fair multiplier includes the original stake, so it should be compared with another total-return figure rather than a net-profit quote.
Probability and return table
The “99% RTP” column assumes a 1% edge for positive picks. It is illustrative, not the actual table of Mint or any other casino.
| Safe picks | Survival | Exact fraction | Fair return | Assumed 99% RTP |
|---|---|---|---|---|
| 0 | 100% | 1/1 | 1× | 1× |
| 1 | 80% | 4/5 | 1.25× | 1.2375× |
| 2 | 63.33333333% | 19/30 | 1.57894737× | 1.56315789× |
| 3 | 49.56521739% | 57/115 | 2.01754386× | 1.99736842× |
| 4 | 38.30039526% | 969/2530 | 2.61093911× | 2.58482972× |
| 5 | 29.18125353% | 2584/8855 | 3.42685759× | 3.39258901× |
| 6 | 21.88594015% | 1938/8855 | 4.56914345× | 4.52345201× |
| 7 | 16.12648221% | 204/1265 | 6.20098039× | 6.13897059× |
| 8 | 11.64690382% | 442/3795 | 8.58597285× | 8.50011312× |
| 9 | 8.22134387% | 104/1265 | 12.16346154× | 12.04182692× |
| 10 | 5.65217391% | 13/230 | 17.69230769× | 17.51538462× |
| 11 | 3.76811594% | 13/345 | 26.53846154× | 26.27307692× |
| 12 | 2.42236025% | 39/1610 | 41.28205128× | 40.86923077× |
| 13 | 1.49068323% | 12/805 | 67.08333333× | 66.4125× |
| 14 | 0.86956522% | 1/115 | 115× | 113.85× |
| 15 | 0.4743083% | 6/1265 | 210.83333333× | 208.725× |
| 16 | 0.23715415% | 3/1265 | 421.66666667× | 417.45× |
| 17 | 0.10540184% | 4/3795 | 948.75× | 939.2625× |
| 18 | 0.03952569% | 1/2530 | 2,530× | 2,504.7× |
| 19 | 0.01129305% | 1/8855 | 8,855× | 8,766.45× |
| 20 | 0.00188218% | 1/53130 | 53,130× | 52,598.7× |
How the values are calculated
For K picks without replacement, P = C(25 − M, K) / C(25, K). Fair return is 1/P and illustrative return is 0.99/P when K > 0; zero picks returns 1×. Fractions use exact integer arithmetic in the calculator’s shared module. The table stops at the last safe tile; further picks have zero survival and an undefined multiplier.
Reproducible arithmetic: GitHub: mines-odds. Values are generated at build time using the tools’ shared math module.
Interpreting this configuration
The opening safe fraction is not a constant rate that applies to every click. Safe reveals leave all five mines in place and steadily reduce the remaining safe fraction. A payout can look attractive in isolation while representing a very unlikely complete sequence; the probability column supplies the missing context.
Calculators and related reading
- Mines odds calculator
- Guide to the game and its odds
- Mines Odds: 1 Mine on a 5×5 Board
- Mines Odds: 2 Mines on a 5×5 Board
- Mines Odds: 3 Mines on a 5×5 Board
- Mines Odds: 8 Mines on a 5×5 Board
- Mines Odds: 10 Mines on a 5×5 Board
- Mines Odds: 15 Mines on a 5×5 Board
- Mines Odds: 24 Mines on a 5×5 Board
18+ · These results do not predict a round or guarantee a profit. Do not chase losses; only gamble money you can afford to lose. Help and limits.
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Frequently asked questions
What changes with 5 mines?
The opening safe fraction is not a constant rate that applies to every click. Safe reveals leave all five mines in place and steadily reduce the remaining safe fraction. A payout can look attractive in isolation while representing a very unlikely complete sequence; the probability column supplies the missing context.
Why does the zero-pick row return 1×?
No pick has been made, so the stake is untouched. The illustrative edge applies only to positive-pick rows.
Are these actual Mint payouts?
No. These are mathematical returns with an assumed edge. Actual payouts require checking the operator’s rules.
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