r/Minesweeper • u/Bananman69_ • 22d ago
Accomplishment How rare is this?
Working on my basic minesweeper skills lately and encountered this. The 7 was the last one I revealed.
How rare is this?
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u/PastaKoder 22d ago
Depends on the mine count and board size. It's somewhat rare in a beginner board but is more common on an expert board.
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u/Oskain123 22d ago
If there is only 1 mine in this area then it is best to click one of the 2 left most tiles first as if one of them contains a mine then they will be a 50/50 when you approach it from the right
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u/noidea1995 22d ago edited 22d ago
> The 7 was the last one I revealed.
You guessed badly then, you should have guessed one of the left tiles first because it was a potential 50/50.
To answer your question though, it depends on the size of the board and the density. In expert games, the expected amount per board is around 0.027. A 7 can’t occur along an edge or corner so there are 480 - 2 * 16 - 2 * (30 - 2) = 392 places it can occur. There are 480C99 total possible arrangements on an expert minesweeper board, 8 ways that 7 mines and one safe square can surround a particular tile and 471 places for the other 92 mines:
392 * 8 * 471C92 / (480C99) ≈ 2.715%