Check Mate!
Two different squares are randomly chosen from an 8x8 chessboard. What is the probability that two queens placed on the two squares can attack each other? Recall that queens in chess can attack any square in a straight line vertically, horizontally, or diagonally from their current position.
Check Mate! Hint
- If Queen 1 is placed on one of the outside 8x8 tiles, how many spaces could Queen 2 be placed on the board that would allow Queen 1 to attack it?
- Do the same for the inner square of tiles (6x6).
- The denominator of the probability fraction will be the number of available spaces Queen 1 can be on times the number of spaces Queen 2 can be on.
Back to Favorite Math Problem Page Check Mate! Solution