• I don't know if you were joking with this or if you don't fully understand the scientific method.
• The purple nose experient is flawed as there is no control so there would be no way to know the reasoning behind the purple nose, there would need to be a control and it would need to be a sizable study since there is a possibility that this person just happens to get purple noses more than anyone else, this is why we have controls and why these things are done as groups, the rule of large numbers. What amount of purple constitutes a purple nose?
• so the scientist wouldn't be able to make any accurate conclusions with a single person and no control.
• this cannot be moved to biden since he is not partaking in an experiment, we are not giving him anything and there is certainly no control.
• the biden hypothesis is flawed since you are giving an arbitrary number of an event outside of any predictable control. It would be similar to astrology, and saying if I see a shooting star 10 times this year, biden is a reptile you know, because what are the odds of seeing it that many times in a year...
• there is not a single image or video showing evidence of biden being replaced especially with a 50 percent chance. Since you have no control and what you are looking for as singles is random, anything that can explain away whatever oddity you find that's more reasonable than a (robot/actor/imprisonment secret op) is more rational.
• what are Instincts if it Flys against all logic? Should the Instincts of a madman be followed regardless of what reality demands? No.
• This video OP posted is a perfect example, it's easily explained using basic logic, a little research and understanding, in yet even though it can be explained away, you will hold on to it and add it to the amount of strange things to count as him being replaced.

To demonstrate your flawed approach:

• if you picked 20 completely random things about biden and each one you said it was proof he was the son of God, if each of those things can be explained away (since he isn't the son of God) you could then use your current argument and say "but what is the probability that I would find so many" as somehow this would be evidence in itself that biden was in fact the son of God.
• in reality, he is human, and not replaced, and you are assuming things using a flawed methodology with "proofs" that have been explained away.