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Post by NAF1138 on Nov 7, 2008 12:48:43 GMT -5
I think I'm remembering something like saying 3rd 4th, and the like for you NAF Yeah, that sounds about right.
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Meeko
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I raccoon it's time to play Mafia
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Post by Meeko on Jun 22, 2009 14:51:18 GMT -5
What would the game look like, if you added a third glass, still allowing players to poison up to 2?
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Post by IronHorse on Jun 26, 2009 6:42:20 GMT -5
You obviously can't win (i.e. kill the other player but survive yourself) if you don't poison a glass or drink out of the glass you poisoned. Each poisoning only one glass gives 9 possibilities, with each player having a 2:9 chance to win, 2:9 chance to lose (to the other player), 2:9 chance to fail (both die), and a 1:3 (3:9) chance to tie (live but not win). As ties are do-overs, it works out to a 1:3 (2:6) chance for each remaining scenario.
Of course, to fail, both must drink. That isn't the requirement. So the person who goes last has an edge, with a 2:3 chance of winning.
If players are allowed to poison 2 glasses, it gets much more complicated. I hypothesize that going last will become a lot more important, as there will now be must-fail possibilities. But I'm not sure I will attempt an actual analysis.
work: 11 tie 22 tie 33 tie 21 1:3 win. 1:3 fail 31 1:3 win. 1:3 fail 12 1:3 win. 1:3 fail 32 1:3 chance either wins. 1:3 chance both die 13 1:3 chance either wins. 1:3 chance both die 23 1:3 chance either wins. 1:3 chance both die
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