This situation may seem impossible to resolve, and it’s true that you have some chance of losing no matter how you deal with it. But there are sometimes ways to improve your odds and clear up the uncertainty without making a move that’s a 50% chance of losing. Mine Bouy calls this “breaking a 50/50.” (8 minutes)

Their strategy has to do with not picking one of the two questionable spots if you can help it. It relies on realizing that picking an adjacent spot with lower odds of failure may give you a chance to give you information that could reveal which spot has the mine. It trades even odds of exploding a mine with a greater chance that a spot is mine-free, and also revealing which of the 50/50 spots hides the boobytrap. Clever!

Two other helps linked from the video’s description are a browser-based Minesweeper analysis tool by MSCoach, which offers a no guessing mode that guarentees no 50/50s will be generated, and a Google Docs paper (by Scar) on the basics of 50/50s and the many forms they may take. You can play Minesweeper on the internet at Minesweeper Online, which also offers a no-guessing option.

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