I've been using Turn Undead a lot lately, it's great when it hit but when it doesn't it's a real pain.So I thought to myself that if I looked at the mathematics of the chance equation I should be able to figure out an optimum chance that it will hit.
Here is the equation:
[(20*skillLVL) + Luk + Int + BaseLV + (1 - Target HP/TargetMaxHP*200]/1000% chance
I know one could easily say to simply pump as much in to the variable categories to get the best possible chance.However, if there is a maximum 70% chance that TU is successful then it must be possible over allocate these variables.
I'm not horribly great at math but here is my best attemp:
[(20*skillLVL) + Luk + Int + BaseLV + (1 - Target HP/TargetMaxHP)*200]/1000% = 70%
Or
[(20*skillLVL) + Luk + Int + BaseLV + (1 - Target HP/TargetMaxHP*)200]/1000 = . 70
Let's make to assumptions now:
You max this skill so that the skill level becomes a constant
The target’s HP is at max since no damage has been accrued, therefore:
Target HP/TargetMaxHP = 1
(1 - Target HP/TargetMaxHP*)200 = 0
The equation is now reduced to:
[200 + Luk + Int + BaseLV ]/1000 = . 70
Doing some simple algebra:
Luk + Int + BaseLV = 500
On that, we can conclude that the sum of the three variables but equal 500 to give a 70% chance
Maybe it’s just me but that doesn’t seem right, I cannot think of any situation that would permit anyone to approach that 70% chance, at best with max level and stats ( no equip bonuses) one barely has a 50% chance.
I am no mathematician but I feel that there is an error in my logic somewhere, I’m not too good with percentages.
Perhaps someone else would like to take a stab at it?