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- This is fairly unorganized. This will feature the majority of scenarios in which I prove that Hypo's provide a better win chance than not hypo-ing.
- To be clear, all of these percentages are plus or minus talking/scumhunts and reads, as those are impossible to measure with a number. This also only cover scenarios that would be different if you were to hypo. Scenarios where hypo's and not hypo-ing are the same are not included, but note that because they are the same that there is no downside to the hypo.
- 1) IF COP DIES N2
- a) If pr is un cc, and report wasn't on pr/dead, then you have 2 un cc for 5 left, meaning a 66% chance of maf lynch d2 (2 maf/3 possible choices) and a 50%(1 clear, 1 maf/2 possible) chance of maf lynch d3, with guaranteed clear on d3. This is better than w/o hypo, where you would have a 50% chance of maf lynch d2, and a 3 way no clear d3 if you didn't lose immediately. Ouch.
- With hypo: 66% into a 50% next day. Without: 50% into a 33% next day. Hypo ~ 16% more wins in this scenario.
- b) If report was on maf, then you lynch him d2, without having to reveal pr. This means a 1/16 of maf killing bomb for town win(1/4 chance of there being a bomb, 1/4 of him killing bomb). This also means you'll have a clear d3. This is better than w/o hypo, where you wouldn't know that cop got a maf (if cop didn't soft), and would be stuck with possible pr-cc's on a 5-way no clear.
- With hypo: 100% into a 50%, with 6.25% of winning in between. Without: 50% into a 20-33%. Hypo ~ 44% more wins in this scenario.
- 2) MAFIA's POSSIBLE GAINS
- Technically it is possible to give information to mafia with a hypo. In this block, false report means when someone that hypo's declares maf is inno (40%), or declares inno is maf (60%). If you read earlier, this is why most blues should just use inno. I will use the 40% value for calculations, because that is what town should be doing.
- a) If one person gives false report: 40% chance of a 33% chance maf killing cop(6 people, 1 cop report, 2 maf, 3 blue reports), as opposed to normal 25% chance.
- .4(.33) = .132, .6(.25) = .15, .15 - .132 = .018 = 1.8% greater chance of cop kill if hypo.
- b) If two people give false report, 16% chance of a 50% chance of maf killing cop.
- .16(.5) = .08, .84(.25) = .21, .21 - .08 = .13 = 13% greater chance of killing cop. Note that this is rare.
- c) If all give false report, 100% chance of maf kill cop.
- .064(1) = .064, .936(.25) = .234, .234 - .064 = .17 = 17% greater chance of cop kill. Note that this is very rare.
- 3) TOTALS
- All the totals. Numbers are in order of when calculated above.
- Win % chance with hypo - Win % chance without hypo = (likelihood of scenario happening x % increase/decrease in win %) (for all)
- [(.66)(.5) - (.5)(.33)] + .5[(1)(.5) - (.5)(.33)] + .5[(1)(.5) - (.5)(.2)] +.0625 + [(.4)(.33) - (.6)(.25)] + [(.16)(.5) - (.84)(.25)] + [(.064)(1) - (.936)(.25)] /(all scenarios) = .069 = 6.9% increase in chance of victory for town, over maf, on average, +- scumhunts/reads.
- This means you'd win on average 6.9% more games with hypo. Now, go out and hypo my friends.
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