New item type (suggestion): Increasing attack damage spread (+max, -min)

Because units in Dota have two values for base damage: minimal and maximal, this can lead to situations when someone survives with very low hp (best example for this is Chaos Knight).

So, what about adding an item that increases your average damage at the expense of lowering your minimum damage?

Example: item that gives +40 max damage, -10 minimal damage at the cost of 800 gold (two blades of attack are +18 dmg for 840 gold).

(maths: if you have 60-70 damage, you are at average of 65; if you have 50-110 damage, you have 80 average damage)

These could be part of items based on chance - for example, giving yourself extra 50% percentage increase at the risk of 33% chance for lowering your damage by 50% (opposite of crit).

Your opinion/suggestions?

Edit 1: The price should be higher since you are looking more for buying 3 of these and getting at least +100 attack, not to get average dps buff. Which means it should build into completely different items.