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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.

Puzzle

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.

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1 Answer 1

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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.

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  • $\begingroup$ Very good, can you answer the bonus question? $\endgroup$
    – gparyani
    Commented Oct 3, 2018 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
    Commented Oct 3, 2018 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
    Commented Oct 3, 2018 at 10:48
  • $\begingroup$ I don't think so. I think there are several situations which could lead to your endpoint. $\endgroup$
    – hexomino
    Commented Oct 3, 2018 at 10:51
  • $\begingroup$ I'll keep this question open to more answers, then move to accept. $\endgroup$
    – gparyani
    Commented Oct 3, 2018 at 10:53

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