When I was young I really liked the Microsoft Minesweeper game. The logic required to deduce which cells were mines really appealed to me, especially once you got into the slightly deeper deductions that you can make. But it always bothered me that you sometimes had to guess. No matter how cleverly you thought through it, you just had to guess. There were some times you could be slightly more clever than normal, to avoid some guesses. For example in the position below, if you simply look at the numbers, you cannot place any mines with certainty. However, there is an additional piece of information provided to the player - the total number of mines. The Microsoft Minesweeper game included a running count of the number of mines remaining, which would decrement whenever you placed a flag. Using this information in the position shown below, you know that there is only one remaining mine, and so it must be the hidden cell which borders both the 2 and the 4. However, this doesn't get you all that far, and there are still many positions where you really do have to guess. I always wondered, how do you know which cell to guess at? Which one has the least chance of being a mine?