Too bad this thread has devolved into more BS philosophizing make-it-up-as-you-go anti-science nonsense.
I do find it amusing, however, that the people arguing the so-called solipsistic POV are using the exact same arguments of incredulity, "proof", "unassailable position" and so on that many theists use to defend their "god." And they don't seem to realize it.
Here is some begging the question for you. When doing the probability of being in reality as it appears or a Boltzman Brain, you would presumably be relying on the experience of your senses and your reasoning power. So how did you get those - well, you got them from the reality, which is as it appears, right? If yes, that would be begging the question.
So here is another version - you don't control reality, reality controls you, so reality would appear the same in both cases. In other words the "I" in "I exist" is noting but the result of process which is beyond the control of "I". You don't control which reality you are in and you don't know which one you are in. So if you believe that you are in a reality, which is as it appears, that is because you are caused and determined by the reality independent of your mind, regardless of which one you are in.
You don't know if there is another human, who wrote this or if you are a Boltzmann Brain. You don't control reality, reality controls you.
In other words you can't give evidence for the fact that reality is as it appears.
So I don't claim evidence or knowledge of what reality really is, because that would circular reasoning and that is illogical. I believe in a natural reality and one that is as it appears.
And no, that it doesn't make sense that you can't know what reality is independent of your mind and that it is useless what I claim, won't determine what reality you are in. Reality controls you and not the other way around. The map (your mind) is not the landscape (the reality independent of your mind). You are inside a cognitive bubble and no matter how much you dislike that if you do so, won't change that. You are inside a cognitive bubble and you don't control reality.