Following this thread: [Crafting] Never tell me the odds! Or you know what…?
In this thread, the OP proposed to calculate the odds to get 1 weapon with all the characteristics you would want.
I will skip the part about the modifiers, I already said that there is a problem with Brunt’s and something could be also done about the shop (why not allowing us to refresh the weapons we can buy against money?). Also, the combinations are correctly calculated. However, I don’t think that is a problem… problem is more that we cannot get high quality weapon with Brunt… except burning looooot of money.
you can find below how I have made the probabilities.
Probabilities calculations
Collecting datas
I started to collect datas soon after the thread I quoted was created following a discussion about the odds to get an excellent weapon. What decided me was the statement of someone starting with a F that you had 25% chances per tier to find a blessing. So, 25% to get a T1 blessing, 25% a T2 etc. This is absolutely false.
I have only noted weapons crafted from this time. Everything I could have crafted before has not been taken into consideration.
You will see several (a lot) of weapons that have no indications at T1 and T2. This is due to the fact that I never use Brunt’s. I buy exclusively my weapons from Merk and the normal shop.
I have crafted only 375+ weapons. Higher are the modifiers rate, higher are the odds to get a blessing of higher tiers.
More weapons I will add to the model, more precise will be the probabilities. I would like to succeed to craft a tier II blessings on such weapon… don’t know if it is even possible. But, I want more weapons crafted to get more accurate probabilities. I have found only 1 perk T2. So, I guess that you have one chance to get a T2 (and maybe a T1) blessing. However, it should be a sort of accident.
These inputs permit to determinate the distribution of tiers for perks and blessing.
At the time I publish this, I have run out of 375+ weapons…
Here the table (won’t be actualized)
Perks odds
Let’s say that I have taken in consideration two situations.
- First, you really want two perks, clearly identified, on your weapon. This is called in the model as “perk wanted”
- Second, you consider that there are several interesting perks. I consider that the average number of interesting perks is 6. It can differ for each weapon, but usually there are always 6 perks that I would be happy to find. This is called in the model as “perk interesting”
I will detail the way I have calculated the odds for perks just by showing it for 2 wanted perks. Just a reminder, there are 15 perks for melee weapons and also for ranged weapons. So the odds are the same on both types.
So, you want 2 perks. This means that you have 2 chances to find the perk wanted when consecrating to Green. As there is 15 perks, this means the odds are: 2 / 15 = 13,33%.
Now, 2 situations. Or we have found one of the perk wanted and then we have only 1 chance to get a perk wanted when consecrating to purple. If we did not find it, we have yet 2 chances. At purple, the perk pool has 14 perks left.
This means that, if we have found the wanted perk, the odds are: 1 / 14 = 7,14%
If we did not find the wanted perk the odds are: 2 / 14 = 14,29%
With the distribution of perk tiers calculated from the weapons I have crafted, we can calculate the odds to get a perk wanted tier II, III or IV.
Here the table:
Blessings odds
Here I have tried two methods:
- in the v1, I considered the number of blessings of a weapon and calculated the odds to get the blessing wanted… However, it is not how it should work
- in the v2, I have taken into consideration the number of blessings that can be found at any tier, and the number of blessings limited to a tier or several tiers. I call them “Blessings unique”.
Let’s say that have stopped to work on the V1, cause it lacks of precision. I am not sure that FS did not adjust odds for rare blessings… As I cannot check that, I made calculations considering that every blessing had the same chance to appear.
So, let’s explain how I calculated the odds for blessings. We will take the example of the plasma gun. Plasma gun has one unique blessing at T3 and 4 blessings at all tiers.
As for the perks, at blue if we want two blessings, we have 2 chances to found them and plasma has 4 blessings in the pool (5 for T3). it means the odds are:
- Tier II: 2 / 4 = 0.5 = 50%
- Tier III: 2 / 5 = 0.4 = 40%
- Tier II: 2 / 4 = 0.5 = 50%
Now, at orange, same about perks.
- or we have find the blessing wanted and then we have only one chance to find what we want when consecrating at orange
- or we did not find one blessing wanted, and then we have only 1 chance.
The blessing pool has been reduced by 1. So, this means that the odds are:
- If we have found one wanted blessing when consecrating to blue:
- Tier II: 2 / 4 = 0.5 = 50%
- Tier III: 2 / 5 = 0.4 = 40%
- Tier II: 2 / 4 = 0.5 = 50%
- If we haven’t found one wanted blessing when consecrating to blue:
- Tier II: 2 / 3 = 0.66 = 66%
- Tier III: 2 / 4 = 0.5 = 50%
- Tier II: 2 / 3 = 0.66 = 66%
As we know the odds to get tiers II, III or IV, we have just to apply it to the result.
Here the table (won’t be actualized):
Get the probabilities
From the calculations of the perks odds, we know now lot of statistics (see table in perk section).
From the calculation of the blessings odds, we have found lot of probabilities about getting a wanted blessing.
We can now combine both.
So if we want two blessings Tier IV on our plasma gun, we know that the chances to get one blessing wanted at T4 is the average of the chances to get one at blue and the chances to get one at orange if we did not find it earlier.
This means that the odds are: (Proba to get blessing wanted at blue + proba to get blessing wanted at orange if we did not get it earlier ) / 2
so: (0.02 + 0.2) / 2 = 0.1122 = 11,22%
But, if we want to find 2 blessings tier IV, this means that we have found one at blue. So, we will use the odds to get the second blessing wanted at orange when we have got one at blue.
This means that the odds are: Proba to get one wanted blessing at blue x Proba to get one blessing wanted at orange if we had one at blue
So: 0.02 x 0.1 = 0.0023 = 0.23%
Every probabilities follow the same logic.
Here the table (won’t be actualized):
Datas
You can find the screenshots of the weapons I crafted here.
I do not have the screenshot of the 4th I have crafted (bad so I discarded it). Also, until the 7th weapon I crafted, I did not take screenshots. Then I decided to save a ss of every weapon I crafted in this experience, before any rebless / refine. But weapons 1 to 6 have been reblessed / refined.
There is 100 purple and orange craft. While I think that brute force to check stats have the problem of the luck or bad luck, if you put enough inputs, a bad series or a too lucky series tend to vanish and you get a final picture from all these numbers.
Now, let’s expose the probabilities.
I named:
- A perfect weapon: a weapon that has 2 blessings tier IV wanted and 2 perks tier IV wanted
- A close to perfect weapon: a weapon with 2 wanted blessings tier IV, 1 perk tier IV wanted and 1 perk tier III
- An excellent weapon: a weapon with 2 blessings tier IV wanted and one perk interesting tier III or IV
-will be actualized-
Number of crafts to have 100% chances to reach something
Number of weapons you need to craft to get 100% chances (in theory) to get something:
At the time I write these lines, you have 4,78% (2.79% before correction lol) chances to get one perfect plasma gun, considering you want 2 perks tier IV and two blessings tier IV.
However, if you want one with Blaze Away, you have 20.73% (6,69% before correction. again… lol) chances to get it.
From my experience, I would say that the odds to get a T4 are:
- at green: 25%
- at blue: 20%
- at purple: 25%
- at orange: 60%