It's a pretty long read and by now most people probably know these properties, but it may be useful for newer players and theorycrafters.
Tl;dr. Random affixes can only roll 1 specific resistance and 1 double stat roll. The probability of rolling a specific affix type is proportional to the total affix levels within an affix type and inversely proportional to the total affixes available to be rolled for a slot piece. Affix rolls occur as independent events with the exception of the exclusive resistance and double state rolls. ilvl of the item, while not affecting the range of possible affix levels rolled on an item determines the probability of each affix level being rolled. Within an affix level the distribution of rolls is even.
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https://docs.google.com/file/d/0B0gMgiAJ3WsmN3lJWVFfVnJlVTQ/edit?usp=sharing
It's a pretty long read and by now most people probably know these properties, but it may be useful for newer players and theorycrafters.
Tl;dr. Random affixes can only roll 1 specific resistance and 1 double stat roll. The probability of rolling a specific affix type is proportional to the total affix levels within an affix type and inversely proportional to the total affixes available to be rolled for a slot piece. Affix rolls occur as independent events with the exception of the exclusive resistance and double state rolls. ilvl of the item, while not affecting the range of possible affix levels rolled on an item determines the probability of each affix level being rolled. Within an affix level the distribution of rolls is even.