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Chessboard (Posted on 2004-01-14) Difficulty: 3 of 5
Three different squares are chosen randomly on a chessboard.

What is the probability that they lie in the same diagonal?

No Solution Yet Submitted by Ravi Raja    
Rating: 3.5000 (8 votes)

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No Subject Comment 20 of 20 |

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.

Therefore:

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%

 

Comments? 


  Posted by zoccer on 2007-02-06 21:27:29
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