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I think the odds of a Kappa spawning are 1/50? I'm sure someone knows for certain.
But if it's 1/50, and there's a 1/4 chance of getting it primal, the odds should be 1/200.
This is if the Gambler's Folly Paradox does not affect it.
If it does, it's just 25%. :)
He's rare, but if you play this game enough, you'll find him enough.
wat ?
Not his primal form.
I don't think I ever found him Primal, so you are indeed lucky.
But you will find him multiple times as you play this game, so eventually, the novelty will wear off. :)
http://clickerheroes.wikia.com/wiki/Easter_Eggs
Miscellaneous section
You have to understand, I don't know the math on it myself, but it could just be someone exaggerating the statement. :)
Your best bet is to find out how rare Kappa is exactly, in percentage, and then extrapolate from there.
I'm not exactly a math expert. :)
I think I had every boss after the 100th lvl primal (I'm @ 190),Luck streak of the year
Assuming 25% primal chance and runs to level 200, you get 19 chances per run. You have 99.5% chance of a boss that can be primal to not be a primal Kappa (easier to calculate). Take 1 - 0.995^19 and you get a 9.08% chance of seeing at least one of those in a run. If you make 10 runs like that, your chance for one or more primal Kappas is already at 61.42%.
For me with regular runs to level 3000 and a 62% primal chance (through Atman and relics), the chance for seeing at least one primal Kappa on a single run is 99.897%. The bulk of that chance comes from multiple primal Kappas, my chance to see exactly one is only 0.715%. While I'm at it, my chance to have Fortuna trigger on a primal Kappa at least once in a run is 49.52%.
If you count single "dice rolls" for how rare an encounter is, a clickable fish is far less frequent with only a 0.01% chance. It just happens to get this chance once each frame. Due to the many chances, there is a 83.47% chance to get at least one fish in any interval of 10 minutes.
Edit: all that only if the assumed 2% Kappa chance is correct.