Mines — The Same Return at Every Cash-Out Point
Twenty-five tiles, a mine count the player sets, and a multiplier that is the true fair price of the risk taken scaled by a published constant. One tile or twenty, one mine or twenty-four: the return is 97% at every cash-out point.
Format: Grid reveal · 25 tiles · player-set mine count · Demonstrates: A return provably constant across every possible decision
Play it freeRun the audit yourself
The machine
| Grid | Twenty-five tiles; the player chooses how many hold mines |
|---|---|
| Multiplier after k safe picks | C(25,k) ÷ C(25−M,k) × 0.97, where M is the mine count |
| House edge | 3%, stated once and applied uniformly |
| Cash-out | Manual, at any point after the first safe tile |
| Basis of the figure | Exact. The multiplier is fair odds × a constant, so the return cannot vary |
Why the strategy question has no answer here
Players of this format spend real effort deciding when to stop, and in this build that effort buys nothing. The multiplier is the mathematically fair price of the risk already taken, multiplied by 0.97 — so cashing out on the first tile and cashing out on the twentieth both return 97% over time. Waiting changes the shape of the distribution and not its mean.
That is stated here because it is true and because it is unusual to say. A game that let players believe otherwise would sell more sessions.
The formula is on the page for a reason
C(25,k) ÷ C(25−M,k) × 0.97 is short enough to check. Set the mine count to three, reveal five tiles, and the multiplier the interface offers should match what that expression gives — and if it ever does not, the interface is wrong and the reader can prove it.
Publishing the formula rather than a table of resulting multipliers is the harder choice, because a table can be quietly adjusted and a formula cannot.
The mathematics
Basis: exact. Computed at page load, not sampled — there is no error bar because there is no estimate.
The multiplier after k safe picks with M mines is
C(25,k) / C(25−M,k) × 0.97. The first factor is the true fair
price of having survived that far; the second is a flat 3% house edge
applied once, to everything.
Because the edge is a constant multiplier on a fair price, the return does not move. Cash out
on the first tile or the twentieth, play three mines or twenty-four — it is 97% at
every single stopping point.
| Safe picks (3 mines) | Multiplier | Return |
|---|---|---|
| 1 | 1.1023× | 97% |
| 3 | 1.4487× | 97% |
| 5 | 1.957× | 97% |
| 10 | 4.9033× | 97% |
| 15 | 18.5917× | 97% |
| 20 | 223.1× | 97% |
That flatness is the whole point. There is no cash-out strategy in this game, and no schedule
of picks that beats another. Waiting buys variance, not value — and a game that says so on its
own page is making a claim the reader can check against the formula above.
What the gate does before the game loads
Nine states have enacted statutory bans on the sweepstakes casino model, and six more closed their markets by enforcement without passing anything. Every one of those instruments turns on redeemable value. This platform has none, so it stays lawful in all fifty — but the geo-gate still names the statute, because a compliance claim that cannot be checked against a citation is a marketing claim.
Select New Jersey and the gate blocks the lobby citing A5447/S4282. Select Oklahoma and it plays, with an amber banner recording that SB 1589 takes effect on 1 November 2026. The distinction between an enacted ban and a ban in force is the sort of thing operators discover late; here it is in the interface, fed by the same weekly-verified database as the state tracker.