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chess

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Four dots are randomly placed on an 8x8 grid 2010-02-26
bobbym pose la question :
Four dots are randomly placed on an 8x8 grid, compute the probability that no row or column contains more than one dot.
Claude Tardif lui répond.
Grain of rice on a chess board 2009-03-30
andy pose la question :
Is there an easy way for my students to find out 8 to the power of 21 to solve the grains of rice doubling investigation on a chessboard? Any suggestions welcome. Thanks very much
Robert Dawson and Claude Tardif lui répond.
The board for a variant of chess 2009-03-16
Adam pose la question :
I am trying to figure out how big a piece of wood I need for a variant of chess I thought up. The board essentially is a set of 6 concentric rings with an empty space in the center, each ring consisting of 24 spaces - so essentially 6 concentric 24-sided polygonal rings made up of trapezoidal spaces. I know the interior angle of the shape (15 degrees), but I can't figure out the size this thing should be.

All I know is that the innermost ring will have the smallest spaces, and that those spaces need to be able to accommodate chess pieces 3/4" wide without them overlapping onto neighboring spaces. That is to say, the short parallel side of the trapezoidal space on the innermost ring should be at least 3/4". But I have no clue how to extrapolate the full diameter of the board from that one measurement. HELP! Adam Goss saganth@yahoo.com

Stephen La Rocque lui répond.
How many squares are there on a checkerboard 2006-12-17
Tania pose la question :
how many squares are there altogether on the checkerboard (including the 64 small squares)?
Penny Nom lui répond.
Tiffany plays first board for her middle school chess team 2002-12-02
Patty pose la question :
Tiffany plays first board for her middle school chess team. Since she joined the team last year, she has won 27 of 51 tournament games. That's a winning percentage of about 53%.

If Tiffany went on a winning streak, how many games would she need to win in a row to raise her winning percentage to 60% Use variables and equations to communicate the method you've used to solve the problem.


Penny Nom lui répond.
Squares on a chess board 2001-04-11
Tom pose la question :
It was once claimed that there are 204 squares on an ordinary chessboard (8sq. x 8sq.) Can you justify this claim? "PLEASE" include pictures.

How many rectangles are there on an ordinary chessboard? (8sq. x 8sq.) "PLEASE" include pictures.


Penny Nom lui répond.
8 Queens on a Chess Board 2000-06-06
Patrick McGarrity pose la question :
In the classic puzzle where you put 8 Queens on a chess board and no queen can take any other queen, I was wondering if there was multiple solutions. Obviously there's the mirror and opposite images of the way I solved it, but I was wondering how many solutions there were, and if these solutions all followed a similar pattern?
Claude Tardif lui répond.
How many squares are on a chessboard? 1999-10-20
Tchilco pose la question :
How many squares are on a chessboard?
Penny Nom and Claude Tardif lui répond.
 
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