Coming back to another Minesweeper challenge...

I've run into another "unsolvable corner" (corner of a puzzle where there isn't enough information to be 100% certain that any particular square that isn't a mine).

Which squares in the below puzzle have the highest chance of being safe, and what are the chances I can fully solve the puzzle based on the clues present? There are 6 mines remaining.



Given your current situation, I believe that

You should fill in the two bottom middle boxes as being flags, because they are 100% mines. Then, the top two squares remaining contain at most 1 flag. The chance of guessing a safe square is 50% (see diagram). The three squares in column two that are touching the 4 each have a 1 in 3 chance of being a mine (there is definitely 1 mine somewhere in those three), so the chance of guessing a safe square is 67% (and the chance of being a mine is 33%. The remaining five squares have 2 mines, so there is a 40% chance of guessing the mine and a 60% chance of guessing a safe square.

I would therefore guess that

Take a guess at one of the three squares in column 2 that are touching the 4, that will give you the best odds.



  • $\begingroup$ Ah, my eyes somehow skipped the two ones in the bottom right... $\endgroup$ – gparyani Mar 5 at 1:13
  • $\begingroup$ How did it go?? @gparyani $\endgroup$ – El-Guest Mar 5 at 1:42
  • $\begingroup$ @gparyani Doesn't the question also ask for the chance of fully solving the puzzle? $\endgroup$ – noedne Mar 8 at 3:01
  • $\begingroup$ @noedne That answer is provided here. $\endgroup$ – gparyani Mar 8 at 3:02
  • $\begingroup$ @gparyani What is the answer? I only see the probability of the first square clicked being a mine. $\endgroup$ – noedne Mar 8 at 3:04

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