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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question re: Simple solution (no program used) | Comment 4 of 20 |
(In reply to Simple solution (no program used) by Penny)

Penny, you wrote:
"So the odds that all three are on the same diagonal, are:

(28/64)*(7/63)*(7/62) + (20/64)*(9/63)*(9/62) + (12/64)*(11/63)*(11/62) + (4/64)*(13/63)*(13/62)

= 0.0204813108"

I don't understand how you came up with these odds, but they seem incorrect.
  Posted by SilverKnight on 2004-01-14 16:31:32

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