That depends. Is the 10x10 grid numbered 0–9 before you choose your squares, or are the column numbers being selected afterward?
If it’s the former, the simplest strategy is to go with 0s, 7s, and (to a lesser extent) 3s. According to a Harvard study of NFL postseason games, those are the luckiest numbers by quarter. Getting a little fancier, try to choose 0s for the underdogs and 7s for the favorites. Avoid 2s, 5s, 8s, and 9s—thinking about football scores, which most commonly raise by either three or seven, this makes sense.
If you’re choosing randomly, there’s a lot less you can do. To maximize your chance of winning something, try to ensure each of your squares has a unique row and column. To throw a hail mary and try to win big, pick as many squares in a single column as the game allows.
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A winner will be determined at the end of the 1st quarter, 2nd quarter, 3rd quarter, and Final Game score. The winner is determined by looking at the last number in each teams' score, and then matching those numbers on the grid and seeing which square intersects those two numbers.
Over the last 35 years I have won with jusst about any combination without noticing significnt pattern. I am currently about even with the game.
Based off of previous studies, the best numbers to have are 0 and 7, while 8 and 9 are the worst to have.