Leveling 3, 4 and 5 star heroes (Analysis, Advice)

@Gryphonknight Thanks very much for the work on this(and a few other posts of yours I’ve been reading). I’d been hearing people argue for specific leveling up strategies, but this really puts everything relevant in perspective.

I’ve considered your argument of 4* and 5* being just as important considering their ascension limitations despite their larger amount of XP. I agree, but I was wondering if you crunched any numbers regarding special skill value probabilities. For example, using only 1s of the same colour what’s the probability that a 4 reaches 3/60 with special skill of 8/8. I guess that thought just puts the practicality of the argument into perspective.

[It’s not clear by my comment, but a lot of time passed at this point.]

Decided to learn math again and found a binomial distribution calculator. Here’s an example with results:

If I just pulled a 4* hero that I want to level up and put on my team, but I only have the ascension mats to get them to 3/60 this is the probabilities a certain special skill level was reached. 4* 3/60 takes 83871 XP. Special skills start at 1 and you would acquire 2 during the ascensions to 3/60. Assuming groups of 10 for highest probability.

538 1* random colour:

P(8) = 79%, P(>=7)= 90%, P(>=6) = 96%, P(>=5) = 99%

466 1* same colour:

P(8) = 97%, P(>=7) = 99%, P(>=6) = 99.77%, P(>=5) = 99.96%

207 2* random colour:

P(8) = 59%, P(>=7) = 78%, P(>=6) = 91%, P(>=5) = 98%

180 2* same colour:

P(8) = 91%, P(>=7) = 97%, P(>=6) = 99%, P(>=5) = 99.86%

299 (E)LC Training output 50% 1*/2* random colour:

P(8) = 65%, P(>=7) = 81%, P(>=6) = 93%, P(>=5) = 98%

255 (E)LC Training output 50% 1*/2* same colour:

P(8) = 93%, P(>=7) = 97%, P(>=6) = 99%, P(>=5) = 99.88%

Conclusion: Your theory hold weight even for 4*/5*s assuming ascension limitations. ELC output is decent. Colour matching is better.

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