Hey @Jeto,
I have two requests for ongoing weekend Faction Events:
- DO NOT add a third map!
- Please even up the drop table so that every troop has its own drop percentage.
What I mean is that, currently, when you add a new Epic troop to the Faction drop table, it shares its drop chance with the existing Epic troop, therefore halving the chance of either individual Epic troop dropping, and therefore requiring twice as many Chaos Shards to get 19 copies of the new Epic (4x Mythic without using Orbs).
Instead, add the “Epic drop chance” for the new troop to the total, then scale back to 100%. That way, the chance relative to other rarities remains the same. For example, an Epic drop currently has (slightly more than) half the chance of a Legendary drop. But each of the two individual Epic troops has the same chance (roughly) as the Legendary drop, because the “Epic drop chance” is shared between the two Epics.
Some Maths
Here’s some equations you can use, where p(t) means “probability of troop t dropping” and is a number between 0 and 1 (0% to 100%):
p(Faction Troop) = 0.45 and p(Treasure) = 0.55
Let’s ignore Treasure drops. Then, with just one Epic Faction Troop available, and using the first letter of each rarity:
p(R) + p(U) + p(E) + p(L) = 0.45
Adding a new troop (Epic, for now):
p(R) + p(U) + 2 x p(E) + p(L) = 0.45 + p(E)
We adjust the probabilities by multiplying both sides by a normalising factor, ‘f’, to bring the right hand side back to 0.45:
f = 0.45 / {0.45 + p(E)}
Now we get new probabilities for each troop, p’(t) = f x p(t)
In particular, for the two Epic Faction Troops, E1 and E2:
p’(E1) = p’(E2) = f x p(E)
And to illustrate why this is fairer, let’s look at the relative probability (call it ‘q’) of getting a particular Epic Faction Troop versus the Legendary Faction Troop:
q == p’(E2) / p’(L) = {f x p(E)} / {f x p(L)} = p(E) / p(L)
In constrast, we currently have:
p’(E2) = p(E) / 2 which implies p’(E2) / p’(L) = {p(E) / 2} / p(L) = {p(E) / p(L)} / 2 = q/2
Of course, you could also increase the probability of Faction Troops over Treasure Troops, to fully normalise the entire drop table, but I reckon that will hurt players more than it helps!
Hope this helps.