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Ive only done like 4 or 5 fuses total but they all gave me what i was expecting, usually 4/5 of a type for a 80% chance
But which effect it has to the math is the question. With thinking about it, i ever got the weapon i placed in the first slot. Yesterday i fused grenns to get a blue one, placed a staff in the first slot and thought that i get another staff, and i got one. I used totally different types, even 2 guns.
Before that i did the same with bows (not planned but i placed them in the first slot) and got another bow, again all weapons placed were different.
I didnt count how often my theory applies. It was just yesterday using the forge three times in a row (to form a green out of whites, a blue out of greens and later another blue out of some greens).
Because i dont collect all weapon types and pretty much have my core weapons i use and the rest pretty much is garbage for me, i mostly throw in what i have.
But yesterday doing this three times in a row and ever getting what i placed in the first slot i started to believe this theory. After doing it today again, i still believe it.
Maybe you guys are correct with your chances, but then i must be extremely (lucky) to ever get the weapon fused i placed in the first slot. At max i had 2 similar weapon types.
Also another thought. The game differs between weapon subcategories. Like Bows and staffs. Those weapons have different ways to shoot, like the staff but count as different weapons.
So placing 3 different staffs, gives you a random (as captainchaos said), you had to fuse 5 similar stafftypes (5 bolt staffs or 5 beam staffs) to get one of the same type.
But maybe it also counts if you only place many weapons of one character to get a new weapon for that character? Because i remember fusing 3 random green staffs, all different and 2 other items and got another staff. Even while the game "tells" you that it should be a random weapon type, i think the chance of getting a staff is raised with placing staffs.
So to sumarize the math:
-placing a weapon gives the chance of 20% to get a new weapon of that type (if 20 or not is the question but just apply this number here).
-placing 2 similar weapons (like 2 1hand axes) raises this chance by 20% for each of them.
-placing weapons of the same type but different subcategory (like 3 different staffs or bows) also increases this chance of getting a new staff by 20% each, but then its a random staff and not a set type.
=each category raises the chance of getting the same by 20%, but even when its not entirely the same, the chance for the next chance of getting it raises.
Example:
-putting in 5 bolt staffs gives you another bolt staff, for every staff taken away and replaced with something the chance loweres to get another bolt staff.
-But when you replace 2 of the bolt staffs with 2 beam staffs, you still get 100% a new staff but its either 40% a beam or 60% a bolt staff.
Question now is, does this also apply to other aspects of the weapons. Like placing 5 Weapons of a character gives you a 100% chance of getting another weapon for this character but its a random one when they arent the same?
Does this also apply to melee subcategories? Like placing hammers (from any character who has hammers), no matter if 2 or 1 handed in the fuse, will this get me a 100% new hammer of a random subcategory?
I personally think, all of these rules might apply. I think putting in the same things give you a better chance for another same item coming out. But i also think the fuse works with different aspects of the placed weapons and thus giving you different tiers of chances for each of these aspects (for example aspects are: ranged weapon, subcategory of the weapon(shottype or how it is wielded) character using the weapon, weapon type (hammer, sword, axe)).
Did you experience the same with using the fuse? My theory of the first slot might be incorrect, fine, but do you believe the rest of the math is true (even when the numbers are incorrect)?