Math (Probability)
posted by Tom .
Four players are playing a game involving choosing positions on a grid of size 3×8. 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 nondegenerate 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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