[Math] Gambler's Stance and Martial Prowess ( and Mystic's Virtue )- Update with Zimkitha and Mother North

Subject
[Math] Gambler’s Stance and Martial Prowess ( and Mystic’s Virtue )- Update with Zimkitha and Mother North

1d6= roll one six sided die
3d6= roll three six sided dice and sum the result

Replace 3s and 4s with zero

Gambler’s Stance is odd. If the no buff dice roll is 1d6, then the buffed dice roll is increased to 3d6. But replace all 3s, and 4s, rolled with the number zero. This gives us a roughly 33% miss rate with a x3 damage modifier.

Example

3d6 dice rolls modification total
3,4,4 0,0,0 0
5,2,4 5,2,0 7
1,2,2 1,2,2 5
6,6,6 6,6,6 18

Gambler’s Stance versus Martial Prowess

Martial Prowess gives us a flat 2x to our 1d6 roll.

Buff Dice roll min max average
No buff 1d6 1 6 3.5
Martial Prowess* 2x 1d6 2 12 7.0
Gambler’s Stance 3d6 ( replace all 3s and 4s with zero ) 0 18 7.0
Martial Prowess and Gambler’s Stance 2d6 ( replace all 3s and 4s with zero ) 0 12 4.6

*= Only effects tile/ matching/ physical damage. Special skill damage is still 1d6.

Since War Cry (+48%) can be added to Martial Prowess and Gambler’s Stance/ Mystic’s Virtue, the numbers just scale up.

Martial Prowess plus Gambler’s Stance

Rumor from Beta is Martial Prowess and Gambler’s Stance originally stacked.

But live server Martial Prowess plus Gambler’s Stance gives a average +80% attack bonus instead of the +100% attack bonus from Martial Prowess and the average bonus of +93.8% attack bonus from Gambler’s Stance.

2.65 attack bonus cap * 0.68 hit rate= +80.2%

Dice rolls

The above dice rolls simulate a combination of attack stat and tile/ matching/ physical damage. Due to the attack curve and the attack stat soft cap, actual damage done ( especially while stacking high attack yellow heroes ) may be less.

HP and Mystic’s Virtue

Mystic’s Virtue uses the actual HP.

Example
If a hero with Mystic’s Virtue buff has 500 HP, any enemy with 501+ HP takes damage versus hero’s attack stat +195% on a hit. This applies to tile/ matching/ physical damage and special skills.

Mystic’s Virtue versus Gambler’s Stance

Rumor from Beta says Mystic’s Virtue used to have a higher maximum attack buff but a higher accuracy debuff.

The live server version:

Buff Attack buff accuracy debuff average bonus
Mystic’s Virtue ( enemy HP <= ) +0% -0% +0%
Mystic’s Virtue ( enemy HP > ) +195% -35% +91.75%
Gambler’s Stance +185% -32% +93.8%

Ranvir and Zimkitha, together they fight crime

Edit 4:

This applies to Mystic’s Virtue ( fast mana speed ), but is roughly the same for Gambler’s Stance ( average mana speed ).

Ranvir and Mother North, together they feed, er, fight crime

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