First of all, statistics is a tricky discipline, let's be clear. In order to get accurate probabilities you need an enormous sample. For example, public opinion polls are statistically valid: they predict who will be president. But, can they predict who I'm going to vote for? Or my neighbor? No, they can't. So, you are right, there are things that one can do to increase the chances of a made shot, and certainly a miss. That's why we practice: to lock in foot-to-leg-to-hip-to-shoulder rhythm, to standardize release points...we're attempting to skew the odds in our favor as much as possible in order to increase our overall odds of being able to make shots. However, taken over large samples, statistics tells us that the odds of consecutive makes are the same. That's just a fact.
But, the flaw of statistics as a discipline is this: they're predictive. The odds of me making the shot that I just made are 100%, the odds of me having missed it are 0%...Hot Hand Fallacy be damned. So, if you're asking what the odds are that I make 1 shot...that's impossible to calculate without a knowledge of quantum physics (and metaphysics, most likely) that humanity has yet to achieve. But, I can say this with relative certainty: If you watch me hit three jumpers in a row, and then calculate whether I make the next one, and we do this 200 times, the odds will even out to be exactly the same as any other shot. Is what it is.