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There is no single poker event that has such a low probability.
Poor wording on my part. I should have either said "series of events" or defined event to mean something like the hypothetical flush draw situation described in earlier posts. Defined that way, we can come up with a situation with as low a probability as we like. (What's the probability of being dealt AA a million times in a row?)
With that in mind, how low of a probability must something have before it can be considered proof/evidence of rigging?
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Given the number of hands dealt per day and the number of years poker has been played any given individual event will almost certainly have happened by now. Several times.
It's actually extremely easy to prove that a site is rigging the deal in the way that rigtards suggest.
You simply take any catagory of players that you like and check to see that overall they have the correct hand distribution and the correct distribution of wins and losses for each hand type.
How do you check anyone's hand distributions other than your own?
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Interestingly, what would NOT be provable would be if a site picked on one player and doomswitched him (unless he kept playing for hundreds of thousands of hands). If they were doing it to multiple players it would show up.
Where would it show up? In hundreds of "IT'S RIGGED!!!!!" threads on poker forums?
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But the crux of the problem is that rigtards will not understand that it is their misconception of the probability of certain events that is the problem. Once someone understands that what they thought of as 'impossibly improbable' is actually nothing of the kind then there is no case to answer.
What the rigtards are doing is akin to someone noticing they haven't seen their neighbour for a couple of weeks and reporting to the police that she's been murdered. The police discover why she's not been seen and explain it but the person in question continues to demand a murder investigation.
Until someone actually offers some credible evidence of rigging there is simply is not a case to answer.
Maybe I'm failing to see what's right in front of me. I've seen several people claim that it would be easy to prove, but I haven't seen anyone say exactly
how to prove it. I understand that if you could get lots of players' hand histories (with their hole cards revealed, of course), you could do a convincing enough analysis. The problem is that the only people with access to all these hand histories are the very people accused of running rigged sites.
And this is why I don't think these threads will ever end, or even slow down. One side demands proof, the other side has no way of providing it. It's a stalemate, with neither side conceding the draw.