Guide · Probability · 6 min read

Mines strategy: what the maths really says

Start with corners and patterns, because that is the tip almost everyone believes. Mine counts, predictor sellers and the stopping question come after.

✓ Math checked · Updated · How we calculate

Ask ten Mines players for their strategy and nine of them will describe a shape. Open the four corners. Walk the diagonal. Repeat whatever paid last night. The shape is the strategy, and it is the belief worth the most time, so it goes first. Everything else on the usual tip lists needs less room than you would expect.

Corners, diagonals and last night's lucky pattern

The mines are placed before your first click. A fixed number of them, spread uniformly at random across the board, and they do not move once the round begins. So the chance that your next pick is safe depends on two quantities only, the number of tiles still face down and how many of those hide a mine. The address of the square does no work at all.

On the standard 5×5 board with 3 mines, that leaves the opening pick safe 88.00% of the time. Corner, centre, the square you always start on because it worked once. Every one of them carries the same figure.

So why does the corner tip survive? Because a shape is easy to remember and a loss is easy to forget. You open four corners, you cash out, and the corners take the credit. The night the same four corners ended on the second click never gets retold.

The older version of this mistake has a date on it. At the Monte Carlo Casino on 18 August 1913, a roulette wheel came up black twenty-six times in a row, and players piled money onto red as the run went on, each spin more convinced that red had to be owed by now. They lost heavily. Mines hands the same instinct something far better to work with, because a grid looks like information. A wheel gives you one number at a time; a board gives you twenty-five squares, some opened, some not, arranged in a picture your eye wants to read. The square you have avoided for three rounds is not ripening. The four that paid last night are not in form. Each round draws its mine positions fresh, from a different nonce fed through the seed pair, and the server seed does not have to change between rounds for the layout to come out completely different.

The same reasoning cuts the other way, which is the half people like less. A pattern that just lost is owed nothing on the next round.

A shape that just blew up isn't "due" to come good. Each round starts with zero information about where the mines are, whatever the last ten rounds looked like.

Reading the pick-by-pick table

Here is the game in one table, built on a 5×5 board with 3 mines, a 1% house edge and picks 1 through 10. "Chance" is the probability that every pick so far is safe. "Fair ×" is what a zero-edge game would pay, which is 1 ÷ chance. "Pays ×" is what the 1%-edge game actually pays.

Mines odds, 3 mines on a 5×5 board, picks 1 to 10
Safe picksChance all safeFair ×Pays ×
188.00%1.13641.1250
277.00%1.29871.2857
366.96%1.49351.4786
457.83%1.72931.7120
549.57%2.01751.9974
642.13%2.37362.3498
735.48%2.81862.7904
829.57%3.38243.3485
924.35%4.10714.0661
1019.78%5.05495.0044

Each extra pick multiplies an already shrinking chance by one more fraction, so the multiplier column climbs steeply towards the bottom. By ten picks you are still alive 19.78% of the time, and the board is showing 5.0044× for it (in our model). Those two columns are the same fact written twice.

Read the table sideways and the structure appears. Take the un-rounded pay multiplier for any row, multiply it by the un-rounded chance of reaching that row, and you land on the same fraction of your stake every time. The rounded figures printed above can sit a hair off that. The edge is charged once, to the payout schedule, and never again at each reveal, and it lives entirely in the gap between the "Fair ×" and "Pays ×" columns.

That matters mid-round, when you are sitting safe at some pick and wondering whether to turn one more tile. Work it out on un-rounded payouts and the expected value of that reveal, weighted by the chance it is safe, comes to the multiplier you could cash out at this second. The average does not improve and it does not get worse. What the extra tile does put on the line is the cash-out you are currently holding, because a mine takes all of it, and in exchange you get a wider spread of outcomes, bigger wins arriving less often.

No pick count, board size or mine count gets round this. The edge is a fixed slice baked into the payout table from the first click, indifferent to which "system" chose the tile.

One mine or twenty-four

Mine count is the other lever on the screen, and it moves the numbers faster than anything else. Five boards, one safe pick each, in our model:

Mines odds for one safe pick at different mine counts
MinesChance pick 1 is safeFair ×Pays ×
196.00%1.04171.0313
388.00%1.13641.1250
580.00%1.25001.2375
1060.00%1.66671.6500
244.00%25.000024.7500

Adding mines lowers the chance of a safe pick and raises what that pick pays, in step, so the expected return per dollar lands in the same place at both ends of the table. With 24 mines you are hunting the single safe square out of twenty-five, and a win pays what the multiplier column says it pays, no more, against a loss that arrives on nearly every attempt. The gentle one-mine grind gets trimmed by precisely the same edge, just in smaller instalments you barely notice.

What a predictor can and cannot do

A "mines predictor" claims to name a safe tile before you click. The placement is already fixed at that moment, locked to seeds nobody can read until the round is over, so there is nothing live on the board for an overlay or a bot to pick up. A predictor sees exactly what you see, the opened tiles, the unopened tiles and the multiplier.

Watch what the sellers actually put in front of you, because it is the same material every time. Finished rounds, replayed with the mines already known. Clips that start after the first pick. Screenshots of winning cash-outs, which any player produces in quantity by accident. The one demonstration that would settle it, a long run of called tiles on rounds chosen by someone else, with the misses left in, never appears. A tool that genuinely read the board would have no use for a sales page; it would need the operator not to notice.

In the demo scheme described on this page, the layout is reproducible once a round is finished. With server seed cashoutodds-demo-v1, client seed hero and nonce 0, a 3-mine round on a 25-tile board puts mines at tiles 2, 11, 22, drawn in the order 2 → 11 → 22, consuming 3 values from the random stream. Change one character of either seed and the whole list moves. That is the point of the commitment. The board is settled in advance, and it is settled by something you had a hand in. Run these demo seeds through the verifier → It checks this demo scheme and nothing else. A real operator arranges its details differently, so a round played there has to be checked with the tool that operator publishes.

If a seller wants your account login, your password or a one-time code, they are after the account rather than your win rate. Software that promises to predict an outcome that was fixed before you clicked is selling you the same nothing.

So when do you stop?

Stopping is the only part of Mines you genuinely control, and the tip lists skip it. Every pick you survive uses up a safe tile while the mines stay where they are, so the chance your next tile is safe slides lower as the round runs on, steeply near the end. The table above answers a different question, the chance that every pick so far has been safe, so do not read a row of it as the risk of the click in front of you. The Mines odds calculator reports the next-tile chance directly for whatever board you set up.

"Always stop at pick 5" is a decision about how much swing you want in a session, many small wins and few large ones, or the reverse. The average is untouched either way, and neither plan is the one to recommend. Where the choice does bite is the bankroll, since the size and frequency of your losses decide whether a bad run clears it out before a good one arrives. That is a question about ruin, and it deserves to be answered with numbers before the session starts.

Mines here is play money and teaching material; we do not take bets. If the stopping question has stopped feeling like a question, for you or for someone in your house, the services listed on our responsible gambling page are worth more than any system on this one.

FAQ

Do corners, edges or diagonals give better odds in Mines?

No. On a 5×5 board with 3 mines, every hidden tile carries the same risk before you touch it. The first pick is safe 88.00% of the time whichever square you choose. Mines are placed uniformly at random, so where a tile sits tells you nothing.

Is one mine with many picks better than many mines with one pick?

Neither is better. You are trading how often you win against how much you win, and the house edge stays where it is. One mine and one pick wins very often for a small multiplier. A board packed with mines pays a big multiplier on a rare win. Per dollar staked, the long-run return on un-rounded payouts comes out the same. The extreme-settings table below shows both ends.

Does a "stop after N picks" rule improve my results?

It changes how often you win and how big each win is. That is variance, and it is real enough to feel. The fixed fraction of your stake the game is built to return on average does not move, whether you plan to stop at pick 1 or pick 10. The arithmetic behind that is simple. On un-rounded payouts, if you are already sitting safe at some pick, the expected payout of taking one more reveal, weighted by the chance that reveal is safe, equals the multiplier you could cash out at right now. What the extra reveal does put at risk is the amount you could have taken instead. The edge is applied once, from the first pick.

Can a Mines "predictor" really see where the mines are?

No. The mine positions are fixed before your first click and locked to seeds you can only check afterwards, so there is nothing on the board for software to read while you are playing. A predictor that worked would show a long, unbroken run of called tiles on rounds it did not choose. Sellers show finished rounds, edited clips and testimonials.

Why does the "next tile safe" percentage keep falling?

Because the mines stay put while the safe tiles get used up. With 3 mines on a 25-tile board, the first pick is safe 88.00% of the time. After nine safe picks in a row, the next tile is safe only 81.25% of the time. Note that this next-tile figure is a different quantity from the chance that every pick so far has been safe, which is what the step-by-step table above lists.

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