I've a chessboard of side 80cm.

You've a coin of diameter 2cm, and you throw it on to the chessboard. The center of the coin falls somewhere on the chessboard.

What is the likelihood that the coin is completely within a white square?

each square is 10 x 10 cm, so for the coin to land entirely on one square it must land with the center 8 x 8 of the square.

there are 32 white squares, and 64 square cm in each that the coin must land within, that makes 2048 square centimeters out of a total of 6400.

which boils down to 1 in 3.125.

Posted by rixar on 2004-10-08 09:52:04