True random distribution

The Uniform random distribution or True random distribution describes the probability of random event that are not pseudo-random. In general this applies to Evasion and Blind as well as most non-damage or non-hero-unit related abilities.

Flat distribution
Some mechanics roll a random value between 0 and 1 and scale it along the minimum / maximum gradient. This includes


 * Physical right click damage. Uphill miss chance of these attacks is 25%.
 * Tower damage.
 * Last hit Gold bounty.
 * Including enemy and neutral Creeps, most Summons, Towers, Barracks and Subsidiary Buildings.
 * Excluding Heroes, Creep-heros and denies.
 * Roshan respawn timer (8 to 11 minutes).



Discrete distribution
A couple of random events have discrete states that have similar probability. Zeus Arc Lightning, Maelstrom/Mjollnir Chain Lightning, Nature's Prophet Wrath of Nature, Rubick Fade Bolt, Witch Doctor upgraded Death Ward and Medusa Mystic Snake bounces search for the closest valid target and are NOT random.


 * Runes with a discrete clamping over the 6 types and 2 locations.