I understand what you are saying in regards to scenario two, and the psychic analogy to the level i need to in order to pose a question. But please expand and tell me why exactly if i am wrong in what i'm seeing. Like i said, i'm bad at math... particularly statistics.
In your psychic example, i see a weak experience. It's just one coincidence that she (she bc females love being psychics) got it right. I understand how one coincidence is likely. For instance, if i play the lottery... i can guess all the numbers will be even... but then, can i guess what those even numbers are? Well, statistically likely not... or else i'd be rich.
To me, when it comes to experiences, i look for patterns that should be statistically unlikely. For instance the experiences that i don't share and say they are suppose to continue to happen, they've been happening. And, i am continuing to monitor if they happen again bc certain events should trigger them. Although they are weak to medium experiences, when they correlate with a life event and continue to happen before that event... it truly makes you think, "what's going on?" I see these as statistically unlikely since there is a pattern that shouldn't be consistent. And in regards to confirmation bias... you have to understand my mind. I truly don't seek these things. I don't know when they will happen. I just know they should happen when they should. Most of the time my mind is either blank (seriously) or i am thinking of present things. I rarely think into the future, maybe a little more past but also rare. And truly, i can't guess when these events happen since the events themselves are random and rare.
But lets get to the experiences i shared. Let's talk about the one with the least amount of coincidences, the spinning necklace. Three coincidence had to happen for it to do the right, stop, left violent spin. If it only spun violently to the right on command, i would say your psychic scenario applies. However, there was two more coincidences of it stopping and then going left violently on command. I think this is unlike your psychic scenario since now there is two more coincidences that needed to happen for the event to occur. I don't see how that wouldn't be rare... then add into that the two other experience with multiple coincidences... that makes it even more rare. Factor in that these events themselves are random... i don't see how that is not statistically unlikely.
I understand your pattern seeking in humans factor however. I'm human, so it would be remiss of me to say i don't seek patterns. But, i truly don't think about these events. I just think if they've happened, they should continue to happen... and i wait and not think about it unless i'm having a conversation about them of course. Therefore, every time they do happen, they blindside me and i'm shocked they happened.
So, i don't know exactly how you factor patterns of events that need to happen if they've happened. And random experiences in specific scenarios with multiple coincidences. To me, you example sounds like a one coincidence, maybe two coincidence scenario. Sorta like playing roulette. I think it does't factor all the feelings i had before the event, the randomness of it having to happen in that specific scenario, then the spiritual experience itself with multiple coincidences.
My lack of statistical knowledge may be a problem, but in these experiences i shared and is why i share, i'm of the opinion that they are rare bc i purposely (exact the Vegas event sorta since i did go being curious about the dreams) tested them beyond what i thought should be statistically improbable. Maybe i should of asked for more spins and waited for more knocking sounds. But, in that moment, what i was seeing and feeling... i thought i was pushing it enough to be statistically improbable. Plus, you got to factor it was freaking me out it was happening in general. It was hard keeping it going while being freaked out it's happening.
Anyways, i don't understand your example clearly yet, but i do to a point. I hope i posed a good enough question for you to incorporate into your examples/analogies.