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Taking as an example the Drunken Brawler ability of the Panda, this gives the hero a 10% chance of critical strike. Using that the probability for a crit is the constant value p for the true random distribution: This can be expressed as the probability that the N'th attack is a crit, and that the previous N-1 attacks were not. We define Ptrd(N) and Pprd(N) as the probability that there will be exactly N attacks between two crits, with N = 1 being two crits in a row, for a true random and a pseudo-random distribution respectively. All calculations are independent of this, and equally correct if the skill is Evasion, Orb of Lightning or Curse. The desired probability, p, is the number listed in the World Editor, or in-game, describing the ability.įor ease of reading, from this point on the article will assume the skill being discussed is critical strike, dubbing each check an attack and each activation a crit. Where N is the number of actions since last activation, and C is a parameter determined (numerically) by the desired probability. The probability of activation increases linearly with the number of non-activations, so the probability formula for an attack modifier to occur is therefore: Significantly streaks of "good luck" or "bad luck" are less likely to occur, making the game less luck dependent. This means that skills such as critical strike will occur more consistently than they would in more common standard random distributions. On the other side right after an activation the chance for another activation is significantly lower than the chance stated in the skill/item description. The PRD works by increasing the percentage chance for an activation by a certain amount every time it didnt activate until the chance for activation is over 100%. In pseudo-random distribution streaks of activation or streaks of no activation are less likely, but the overall probability remains the same. It is the second sequel to Warcraft: Orcs & Humans, after Warcraft II: Tides of Darkness, the third game set in the Warcraft fictional universe, and the first to be rendered in three dimensions.
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In more common random distributions, every possible check has the same chance of activation regardless of any prior checks. Warcraft III: Reign of Chaos is a high fantasy real-time strategy computer video game developed and published by Blizzard Entertainment released in July 2002. Pseudo-random distributions are used to calculate chance based passive abilities including Critical Strike, Bash, Evasion and Drunken Brawler. Pseudo Random Distribution (shortened PRD) is a mechanic from the Warcraft 3 engine where seemingly random outcomes are instead pseudo-random, limiting the factor of luck significantly.