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The odds of them winning are exactly the same as every other guild.
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Then I find it odd why those odds never seem to work for those guilds but always turn in favor of a select few. Very coincidental....
You're trying to live in this land of "technically" where you bring in statistics and whatnot, which is all well and good if you're trying to jokingly correct someone for a quick laugh, but this simply doesn't work in the real world.
Works the same for other games. In Smash Bros. for example, a tournament could have 700 entrants, all with an equal chance of winning. Yet the 5 Gods of Smash always seem to take the top spots, and the same people always win the tournaments. If time is an issue to qualify your statistic, Melee has been around for more than a decade, and this has always been the case.
You don't look past the numbers, which is a big problem when you're trying to assess this in practical terms. Yes,
technically everyone has an even chance, but in
reality, there are very few guilds who are going to be considered to win it. Welcome to the real world.