New crit formula
before you look at the attached picture here is the reasoning that went into it:
before i set out to create this formula there were few goals i wanted to achieve (or should I say Criterias)
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Locate a chance frequency sweet spot and set it as default. (I picked 1 in 3 autos, much like jax's ultimate, udyr's phoenix)
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Make it such that crits are bit less left to chance while still keeping the element of variety/fluctuations in your auto attacks. ensuring that crits still stand out enough to live up to the name critical. (Done by attempting to incorporate a bit of flattening)
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Lessening the penalty for those seeking to reach max crit chance. (similar to finding a sweet spot but for not missing as opposed to sweet spot for critting) an example of this: say i'm tryndamere and i use qss just right excellent timing/reflex, also execute a sweet juke/dodge a binding or hook.. all in an attempt to reach the adc (who i noticed is down summoner/disengage), only to find out that all this was in vain because even though i have 80% crit chance my few crucial hits did not crit in the short window i had.
In the attached picture below, Its written:
30% of the total amplification is distributed into your auto attacks, while the remaining 70% occues on when you crit
So i added some flattening. maybe it could be 180% and 120%. or 175 and 25%. whatever feels satisfying. At 33..33%crit chance you have 2 regular autos for every crit so (30% / 2) + 100% = 115% = regular autos flattened. At 50% crit chance you crit every other autos so autos get 30%.
Above 50% chance i'm looking to ensure that crits progressively flattened such that by 100% crit chance its completely flattened. so the 30%/70% distribution/split will progressively become 100%/100% the more chance you get.
Edit: added portion to comments below

and
. How it would work is that every champion has a stack counter visible only to them and once they reach 100 stacks they get a crit. (Champions would acquire stacks through auto attacking.) Crit chance would be changed to stack reduction ex.
gives you 35% crit chance - changed to - 35 stack reduction. This means that building a phantom dancer would reduce the required stacks from 100 to 65. This method isn't balanced yet but it is just a suggestion to remove the randomness and implement a new mechanic as you would want to get enough crit stacks before a fight so you can open with a crit and you would have to choose between a crit on a champion or on a minion. edit: it would also help with cs since you know when your crit is coming up.