- #1

FrankP

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The football pool used is a 10 by 10 array with the numbers 0 through 9 randomly assigned along the x and y axis. One axis is team A, the other team B. There are 100 cells to be purchased individually and assigned randomly. You win if, at the end of a quarter, the last digit of the scores correspond to your purchased cell(s). Example: if you are assigned the cell corresponding to 3 for team A and 7 for team B, you will win if, at the end of a quarter, the score is team A is 23 and team B is 17.

You purchase one cell for one pool and one cell for a separate pool and are randomly assigned the same exact results (team A 7 and team B 3) for each even though the axis numbers were random and different for both and the cell randomly assigned was different for both.

What are the chances of this happening?

I'm thinking the possible number of ways these two pools can be created is 100! squared but that's as far as I can get.