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Number Theory Level pending

In the game of 8 ball pool, "accuracy" is measured as Number of balls potted Number of shots made \large \frac{\text{Number of balls potted}}{\text{Number of shots made}} The accuracy on a match is shown by a data logger coupled to a detector that counts the balls potted in the pockets.

What is the maximum possible accuracy that a data logger may show in a match?

8 16 1 14 9 17 15 7

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