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April 24, 2014

Homework Help: Math (Probability)

Posted by Bob on Monday, May 6, 2013 at 11:12pm.

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

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:

1. Players are allowed to have selected the same squares.

2. There is no restriction on their choices.

3. A degenerate rectangle has 0 area.

4. Squares are rectangles.

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