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Pseudo Random Distribution (War3 Evade)

Apr 10th, 2016
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  1. First off: Big thanks to HORNYCAT for helping a lot with the math. Couldn't have done it without him.
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  3. YOUTUBE VERSION (DOTA VIDEO, NOT ME): https://www.youtube.com/watch?v=yR7BcWfBCsc&t=0m37s
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  5. TEXT EXPLANATION (by me):
  6. Pseudo Random Distribution (PRD) Evade is now in effect if your evade chance is 50% or below. The way PRD works is like this (percentages used for example and are not actual):
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  8. Your race has 35% evade. What PRD does is instead of every bullet having a 35% chance of being evaded, the chance shots are evaded actually varies, by a "constant" value.
  9. Say the constant related to 35% is 15%.
  10. The first shot would have a 15% to be evaded. Second, 30%. Third, 45%. Fourth, 60%. So on and so forth.
  11. Once a bullet is evaded, the chance to evade would drop back down to 15%.
  12. It is physically impossible to go a certain number of hits without evading (eventually your evade chance will be 100% or greater).
  13. It is incredibly unlikely to evade a substantial amount of shots in a row.
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  15. IN PRACTICE WITH REAL NUMBERS:
  16. With Molecule's 33% evade, in nearly 12 out of 1,000 scenarios it would evade 4 shots in a row.
  17. With Molecule's new PRD evade at 35% chance, it would occur less than 1 out of every 1,000 scenarios.
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  19. With Molecule's old 33% evade, it would not evade a single bullet out of 5 bullets in 135 out of 1,000 scenarios.
  20. With Molecule's new PRD evade at 35% chance, it would not evade a single bullet out of 5 bullets in only 23 out of 1,000 scenarios.
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  22. Statistically over a large number of hits, PRD will evade exactly the number of hits it is supposed to - be it 35% or any other percentage. The benefit is, however, that there will be less streaks of evades, and less streaks of no evades.
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  24. For more information:
  25. http://dota2.gamepedia.com/Pseudo-random_distribution
  26. http://wiki.teamliquid.net/dota2/Pseudo_Random_Distribution
  27. https://en.wikipedia.org/wiki/Pseudorandomness
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