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In that case here's a scenario that would work (keep in mind I have no idea how darts is scored).
In the first Month, Joe played 10 games and scored 50 points in each of them for an average of 50 points in the first month. Bob played 1 game and scored 49 points for an average of 49. Joe wins 50 to 49.
In the second month, Joe played 1 game and scored 100 points for an average of 100 points. Bob played 100 games and scored 99 points for an average of 99 points. Joe wins 100 to 99.
Overall however, Joe played 11 games and scored 600 points for an average of 54.5 points. Bob played 101 games and scored 9949 points for an average of 98.5 points. Bob wins 98.5 to 54.5.
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"Every normal man must be tempted, at times, to spit on his hands, hoist the black flag, and begin slitting throats."
--H.L. Mencken
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