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2-14-2009 @ 1:34AM
"Consider that for each Horde score there are 200 Alliance possibilities, and vice-versa."You have the right idea, but you need to remember to isolate it for Victory conditions:For a Horde win (2000 points) there are 200 alliance possible scores ranging from 0-2000. This means at the end of a Horde victory, there are two hundred possible scores the Alliance can have. If you ADD (not multiply) the combinations of Alliance wins, you get another 200. So 400 ENDING scores.If you come into a game at a random moment, there are 40,000 possible scores during the course of the game (like you said 200*200). For the sake of "We Had It All Along" we only care about the ending scores though.The probability remains 1/400. A horrifying prospect if you are striving for it, but much less worrying than 1/40,000 or 1/4,000,000.
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