Three different squares are chosen randomly on a chessboard.
What is the probability that they lie in the same diagonal?
Well I think a diagonal is a line connecting two non-adjacent vertices. Being so, a chessboard has only TWO diagonals: the so called (by chessplayers) the large or main diagonals.
C64,3=41664 (total number of sets of 3 squares in a chessboard)
2*C8,3= 112 (total number of sets of 3 squares in a diagonal)
Requested probability: 112/41664 = 0.269%
Posted by zoccer
on 2007-02-06 21:27:29