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Your math if flawed. You're placing 6 static herbs in the zone with alliance working together against the horde. Your calculations are consistent only with the number of herbs in the zone, rather than the number of people. Place 3 static herbs in the zone instead, and now horde get 1/3 chance at every herb and alliance gets 2/3(one horde per, 2 alliance per), which means 1 herb for horde and 2 for alliance; the same distribution as the number of people.
The math is fine - you simply changed the scenario - change the scenario and that changes the math.
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You have to compare rather that all 9 people are in equal and consistent competition and there is no collaboration between alliance or horde.
I never assumed that they were working together, the simple reality is that the side with the most peeps is going to score a disproportionately larger amount of a fixed, limited resource - there needn't be any collusion between them.