Cranium basher - bash special ..

bashes stack with diminishing returns, as according to the formula:

1 - ( 1 - A ) * ( 1 - B ) * ( 1 - C ) * ... * ( 1 - X ) = Chance to get at least one bash

where A, B, C and so forth are the seperate chances for each item or skill that can bash / critical strike.
Note that all bashes in the game are rounded to the nearest 5%of chance before calculating them in this formula.


Bashes

When calculating bashes, the result depends on whether you're a melee hero or a ranged hero.
It is true for both however, that if you bash an already stunned unit, the greater of the remaining stun time and the bash time of your bash will be used. That means that a bash can never shorten the amount of time a unit is stunned.

Melee heroes' bashes stack fully,so if two or more bashes occur at once, the longest stun time from all the bashes will be used (bashes never shorten stun time) and all the different bash damages will be added .
The damage is reduced by spell resistance, and eliminated by magic immunity.
The damage is a separate source and therefore does not count to life steal and does not interact with critical s trikes in any way.
Additionally, melee units' bashes have a clear advantage:
The stun part of the bash is NOT eliminated by magic immunity and thereforeyoucan even stun magic immune units, though they will get no additional damage from the bash.
As melee heroes can proc more bashes on one attack, the formula above only gives the chance of having at least one bash( and for that a stun ) per attack. This also means that on melee heroes, the damage output from the bashers are not affected by diminishing returns.
Two bashers means you have 27.75% chance to land at least one bash on the opponent, but 25.5% chance to get one bash and 2.25% chance to get both bashes. Since the damage stacks, this gives as much average damage as 30% chance to bash once.

As for ranged heroes, it's the other way round. The bash damage is added directly to the normal attack damage and therefore it behaves just like any normal damage increase (it's reduced by armour value and armour type, it grants life steal, etc.). The stun part is blockable by magic immunity.However,a ranged hero can not land multiple bashes in one hit - a proc of a later acquired bash will always completely overwrite an earlier achieved one.

There are two other passive skills which can stun for a short duration.The first is Sniper's Headshot, which has a 40% chance to stun for 0.1seconds. The second is MKB, which has a 30% chance to stun for 0.1seconds. It is important to note that these skills will not stack with each other; if two bashes occur at once, only the bash time and damage from the last bash skill or item you got will work.


For easy reference:

On heroes without bash -

1 Cranium Basher : 15% bash
2 Cranium Bashers : 27.75% bash
3 Cranium Bashers : 38.5875% bash
4 Cranium Bashers : 47.79937% bash
5 Cranium Bashers : 55.62946% bash
6 Cranium Bashers : 62.28504% bash

On heroes with 25% bash -
1 Cranium Basher : 36.25% bash
2 Cranium Bashers : 45.8125% bash
3 Cranium Bashers : 53.94062% bash
4 Cranium Bashers : 60.84953% bash
5 Cranium Bashers : 66.7221% bash
6 Cranium Bashers : 71.71378% bash

On heroes with 10% bash (Troll Warlord) -

1 Cranium Basher : 23.5% bash
2 Cranium Bashers : 34.975% bash
3 Cranium Bashers : 44.72875% bash
4 Cranium Bashers : 53.01944% bash
5 Cranium Bashers : 60.06652% bash
6 Cranium Bashers : 66.05654% bash

thanks


source: garena.com