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April 21, 2014

Homework Help: Math (Probability)

Posted by Tom on Tuesday, May 7, 2013 at 11:28pm.

Four players are playing a game involving choosing positions on a grid of size 38. Each player chooses a random position on the grid, then all players reveal their choices and a token is placed on each of the positions.

The probability that the tokens form the vertices of a non-degenerate rectangle can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

Note:

-Players are allowed to have selected the same squares.

-There is no restriction on their choices.

-A degenerate rectangle has 0 area.

-Squares are rectangles.

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