Mines Odds: 2 Mines on a 5×5 Board
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Two mines introduce a useful comparison with the single-mine board: the initial layout still contains many safe tiles, while the probability of a long uninterrupted run falls more sharply.
Read down the rows to compare stopping after an early safe pick with committing to several more. These are cumulative chances for one round; restarting creates a new board rather than continuing the same sequence.
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 | 92% | 23/25 | 1.08695652× | 1.07608696× |
| 2 | 84.33333333% | 253/300 | 1.18577075× | 1.17391304× |
| 3 | 77% | 77/100 | 1.2987013× | 1.28571429× |
| 4 | 70% | 7/10 | 1.42857143× | 1.41428571× |
| 5 | 63.33333333% | 19/30 | 1.57894737× | 1.56315789× |
| 6 | 57% | 57/100 | 1.75438596× | 1.73684211× |
| 7 | 51% | 51/100 | 1.96078431× | 1.94117647× |
| 8 | 45.33333333% | 34/75 | 2.20588235× | 2.18382353× |
| 9 | 40% | 2/5 | 2.5× | 2.475× |
| 10 | 35% | 7/20 | 2.85714286× | 2.82857143× |
| 11 | 30.33333333% | 91/300 | 3.2967033× | 3.26373626× |
| 12 | 26% | 13/50 | 3.84615385× | 3.80769231× |
| 13 | 22% | 11/50 | 4.54545455× | 4.5× |
| 14 | 18.33333333% | 11/60 | 5.45454545× | 5.4× |
| 15 | 15% | 3/20 | 6.66666667× | 6.6× |
| 16 | 12% | 3/25 | 8.33333333× | 8.25× |
| 17 | 9.33333333% | 7/75 | 10.71428571× | 10.60714286× |
| 18 | 7% | 7/100 | 14.28571429× | 14.14285714× |
| 19 | 5% | 1/20 | 20× | 19.8× |
| 20 | 3.33333333% | 1/30 | 30× | 29.7× |
| 21 | 2% | 1/50 | 50× | 49.5× |
| 22 | 1% | 1/100 | 100× | 99× |
| 23 | 0.33333333% | 1/300 | 300× | 297× |
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 second mine changes the shape of the survival curve. Losing either of two dangerous positions ends the round, so the risk cannot be measured by subtracting the initial mine fraction repeatedly. Use the cumulative probability for the full plan and the multiplier column for the corresponding total return.
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: 3 Mines on a 5×5 Board
- Mines Odds: 5 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 2 mines?
The second mine changes the shape of the survival curve. Losing either of two dangerous positions ends the round, so the risk cannot be measured by subtracting the initial mine fraction repeatedly. Use the cumulative probability for the full plan and the multiplier column for the corresponding total return.
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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