In this example there are 79 possible solutions but only 2 of them have 4 mines. A third strategy is to determine the number of mines remaining by flagging the rest of the board. This usually has better odds of being safe and often helps solve the game. A second strategy is to click a random square that does not touch any numbers.
This option will give the best score if you survive. One strategy is to guess quickly and hope for the best. It looks like there are three unavoidable 50/50 guesses, and two unavoidable 66/33 guesses. The following example illustrates many of the above points. When starting an Expert game the chance of a mine somewhere is 0.206 but the top left corner nearly doubles to 0.370 after the 1st click. If you have a 50/50 guess and one square is the top left corner, the corner is always more likely to be the mine. Minesweeper makes the 1st click safe, so if you click a mine it is moved to the top left corner (or the nearest empty square on its right). A general rule of thumb is that if one square in a 50/50 situation touches a high number, it is more likely to be a mine than the other square.Ī special case of probability is when guessing involves the top left corner. For example, in the image below some squares are both 50/50 and 66/33 guesses! When all unsolved areas are considered, a simple 50/50 guess often has one square much more likely to contain the mine. Local probability is easy to calculate but is usually wrong. This can be very difficult to calculate! Sean Barrett has written Minesweeper Advanced Tactics as a guide. For example, if you know there is one mine in three squares, do not open the middle square!Īlways choose the most likely solution. A common mistake is turning a 33/66 guess into a 50/50 guess instead of solving it. Sometimes one solution eliminates another guess, or gives an easier arrangement of mines. If two solutions are equally likely, choose the one that will help most if it is correct. Your bravery is often rewarded by finding that the original 'guess' becomes solveable when approached from a different direction.Īnother important thing to remember is usefulness. Remember you are more likely to get openings by clicking on edges. These odds are much better than a 50/50 guess. You can improve your chance of winning by clicking randomly! The average chance of hitting a mine is 0.206 on Expert and 0.156 on Intermediate and Beginner. Perhaps you have solved part of a board and need to guess in order to reach the rest of the board. Keep in mind though that the density of each level is pretty low, so less dense solutions are more common overall.Įxample D: Is there 1, 2 or 3 mines in the corner? Find out before you guess. For example, the solution with more mines is more likely on Expert than Intermediate. If you decide to save time and guess immediately, think about the mine density of the level you are playing.
You can solve 'Example D' if there is 1 mine or 3 mines, but you must guess if there are 2 mines left. Instead of guessing, you can solve it by flagging the rest of the board and seeing how many mines are left. There might be an arrangement of numbers with more than one solution, and the solutions require different amounts of mines. Sometimes you can improve the chance of guessing right. Flaggers often make the mistake of guessing the mine because they love to chord. If you need to guess and there are more empty squares than mines involved, it is always better to guess an empty square instead of guessing a mine. This can allow you to open even more squares (marked blue) which may help you solve the original guess. Instead of guessing, open the safe 3rd square. In 'Example B' there is a mine in the two yellow squares. If you can prove a square is safe, open it instead of guessing where the mine is.
Opening safe squares is as important as finding mines. You have just guessed for no reason! A smart player will click the outer two squares first, which allows enough time to react to the initial click and decide if there is a mine. But if you click fast there is no time to react, so you will lose if the middle square is a mine. The fastest way to solve 'Example A' is to click the unopened squares in a row. Many players are impatient and guess instead of solving. Do not delay taking forced guesses - solving the rest of the board first is a waste of time if you end up guessing the wrong square. Waiting to see if you guessed right also wastes time, so assume you survived and try to keep playing. Thinking does not improve your chance of guessing correctly, it only wastes time. A typical case is a 50/50 situation where one mine is hidden in two squares. Sometimes in Minesweeper you need to guess.
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