Stackexchange iconStackexchangeSep 11, 2026 ~1 min source read

The house wins big in minesweeper

People all over the country are flocking over to try your casino-style minesweeper game! As with the last puzzle, you can choose which cells are revealed and what number each revealed cell shows, but not where the mines are.

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People all over the country are flocking over to try your casino-style minesweeper game!

As with the last puzzle, you can choose which cells are revealed and what number each revealed cell shows, but not where the mines are.

You must choose them in a way that results in at least one valid mine configuration.

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The useful part

People all over the country are flocking over to try your casino-style minesweeper game! As with the last puzzle, you can choose which cells are revealed and what number each revealed cell shows, but not where the mines are. You must choose them in a way that results in at least one valid mine configuration.

How it works

  • Once that's set in place, the machine will randomly generate a collection of mines that satisfy all the revealed numbers.
  • If 2 configurations with 4 mines and 3 configurations with 5 mines are possible, all 5 choices are equally likely.
  • Revealing or unrevealing a cell, or changing a number to a different number.
  • What should the (modified) grid be, and what's the probability of the player winning for that grid?

Details worth keeping

Your casino has been doing really well these last few weeks. You are not allowed to choose the number of mines. The perfectly fair grid and the modified grid can only differ in one cell.

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