I seem to have run into yet another "unsolvable corner" while playing Minesweeper.

The following segment is taken from the bottom right corner of the puzzle. There are 5 mines remaining, and all irrelevant sections have been cropped out.


Which squares have the highest probability of being safe? Is there a definite answer to this puzzle? If not, what is the chance I can fully solve it without hitting a mine?

Bonus: Given the below hint, can you guess what the solution was?

After tapping all the guaranteed safe squares and working from there, I got to a point where there were just two squares remaining with one mine. Unfortunately, I tapped the wrong one, and lost... :( Thankfully, my version of the game has an achievement you can earn for flagging all but one mine on an Expert board, then detonating it.


Consider the following image

enter image description here
There is a mine present in each of the three red sections.
Also, there will be two more mines adjacent to the bottom '2'. This makes 5 in total.

Hence, each of the green sections should be free of mines.

Bonus: If there were a mine in the square below the '3' and a mine in one of the two squares to the right of the '4' (in the red L-shape), then it would be impossible to determine which of these two squares contains the mine. I think this is most likely scenario as there seems to be enough information elsewhere.

  • $\begingroup$ Very good, can you answer the bonus question? $\endgroup$ – gparyani Oct 3 '18 at 10:39
  • $\begingroup$ @gparyani There is at least one situation I can see where the answer would be undetermined. I've edited my answer now. $\endgroup$ – hexomino Oct 3 '18 at 10:48
  • $\begingroup$ Great, on the right track; is it possible to state where the other three mines are, or is that not possible without knowing further information? $\endgroup$ – gparyani Oct 3 '18 at 10:48
  • $\begingroup$ I don't think so. I think there are several situations which could lead to your endpoint. $\endgroup$ – hexomino Oct 3 '18 at 10:51
  • $\begingroup$ I'll keep this question open to more answers, then move to accept. $\endgroup$ – gparyani Oct 3 '18 at 10:53

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