My solar amulet can't be sanctified to +4 spell skills.

"

IILU81II#8410 wrote:

How is a lock increasing chance?

"Allows an item to foresee the result of the next Currency item used on it
Modifying the item in any way removes the ability to foresee"

"

Taistelija#5483 wrote:

What Eden#7078 is trying to do, is to use locks on his amulet so he can see if sanctifying it will result +4 skill levels. If mouseovering the item does not show +4 levels, then he has to apply one random catalyst and reapply the catalyst he wants up to 20/20 and try again with next hinekora's lock if the result is +4 levels or not.

Since you can only sanctify item once, its not about how many sanctified chances you have, but instead how many hinekora's locks you had to use to finaly get the +4 roll. This is why hinekora's locks determine the chance of success in this situation.

You can think it as "Hinekora's locks give you the chance to see +4" and when you see the +4 roll then you sanctify with 100% result.

"

Taistelija#5483 wrote:

Sanctify tooltip says:
"Sanctifying an item will randomise the numeric values of its modifiers, then multiply the values of those modifiers by a random value ranging from 80% to 120%. The resulting item will now be Sanctified."

This means that sanctifying an amulet with +3 skill levels will reroll the level modifier and then multiply the resulting roll with 0.8-1.2.

Amulet can have 1, 2 or 3 levels at base roll. Lets assume that when using divine orb (or sanctifying) the chances for each result is equal. Meaning that you have 1/3 chance to roll +3 levels.

After the "divine roll" part of sanctifying an item the resulting roll will be multiplied by number between 0.80-1.20. I assumed that the multiplier is with 2 desimals since that how corrupting an item works. This means that we have 41 different multipliers:

1 = 0.80
10 = 0.81-0.90
10 = 0.91-1.00
10 = 1.01-1.10
10 = 1.11-1.12
= total 41 options

Lets assume that reaching skill level 3.5 will round up to +4 levels.
Now to calculate which multipliers result in 3.5 or higher:
3*x >= 3.5
x >= 1.1666667
x >= 1.17

Multipliers: 1.17, 1.18, 1.19 and 1.20 will cause the amulet to roll +4 levels. This means that 4 out of 41 multipliers will cause the +3 roll to go +4 roll.

Final chance = 1/3 * 4/41 = 4/123 = 0.0325203 = 3.252% chance.

--------------------------------------------------------------
Bonus: I noticed you have used 25 locks already so your chances to get +4 should be:

P(Chance_with_25_locks) = (1 - 0,9674796748^25)*100 = 56.2431 %

Rip!
--------------------------------------------------------------

Seems like if an amulet rolls 1, 2 or 3 level it is its own suffix meaning that the ranges cannot reroll. This means that as long as you have +3 amulet your chances are 4/41 to get 3.5 or higher and hence get +4 levels.

Final chance = 4/41 = 0.9756097561 = 9.756 %

With your 25 locks:
P(Chance_with_25_locks) = (1 - 0.9024390244^25)*100 = 92.318 %