Please tell me you're still in grammar school and have not begun any mathematics courses above simple addition. Otherwise, I have no recourse but to advise you you're dumb.
Your logic is direct probability (i.e. 1 to 1 relationship) between attempts and results. Sorry to inform you, random doesn't work that way. If it did, winning big in Vegas would be easy.
Now, what you stated is between 22 exotics you've had 200 chances to get one. (I disagree with that math as well, but will accept it for the sake of this discussion).
Your logic is that each chance should've been represented at this time and point as you've crested the potential rolls vs probable chance...
That would mean if you rolled a 6 sided die (singular of dice) 6 times you'd get 1,2,3,4,5,6 each one time.
Now, go ahead and try that...i'll wait.
Did it work out that way?
Now slam your face on your desk as hard as you can.
I just wanted to see if you were mindlessly following instructions or actually thinking about the questions and results.
Probability does not equal possibility and potential chance in this game is randomized.
You can get Hawkmoon on the first time you ever get a chance at an exotic or the 100th or the 1,000th and guess what? It's still random chance.
I've seen the roulette wheel hit 00 twice in a row in Vegas. Statistically it's the highest level of improbability, but it can happen...because it's random chance.
What you quoted is not simple math, it's simple ignorance.
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