Quote: Originally posted by KY Floyd on Oct 4, 2016
"For that same exact order set to fall the following night you would have (1*((10*10))*(1*((10*10))*(1*((10*10)) or 1 in 1,000,000."
The odds of the same number occurring in the following night's drawing are 1 in 1000. The odds of a specific number occurring two specific nights in a row is 1 in 1 million.
"Probability says it's getting impossible to continue to be totally random"
No, probability just says that the results are increasingly unlikely. Whether or not it's a random result is determined by how the results are obtained, not by what the results are. When you flip perfectly fair coin the results are always random. Flip it once and there's a 1 in 2 chance of heads and a 1 in 2 chance of tails. Flip it twice and there are four possible results, so your results, regardless of what they are were a 1 in 4 chance. Flip it 100 times and your results are 1 of the 1,267,650,600,228,229,401,496,703,205,376 possible results. That's particular result is exceedingly unlikely, but it's still the perfectly random result of probability. And whatever it was, it's no more unlikely than getting heads 100 times in a row.
"Again we see the limitations of random."
No, we just see the results of random probability. The only limitation of random probability is that you won't get results that aren't random.
"the experts know exactly how often each possible event should occur during 1,000 revolutions."
Maybe what you mean is different than what you said, but nobody knows how often each possible event should happen. All they know is that each possible event has the same chance of occurring, the probability that any particular result will occur n times in a thousand, and some other possibilities. There's nothing that's certain to happen.
"whose purpose is to scramble the odds"
The odds are determined by the structure of the game, such as picking 1 three digit number out of 1000. The equipment simply ensures that the selection process is random.
"The machines ... seem to know "
The machines don't know anything.
"How about explaining to us 'clueless' folks how two different actions, pre-mix and and mixing in a dumb ball machine, can produce the same outcomes, in so far as odds, probabilities, percentages and all of the other mathematical functions are concerned. "
Again, maybe it's what you're asking versus what you've written, but there aren't two different actions. The machines don't know whether a drawing is a test drawing, an official drawing to determine the winning numbers, or if somebody broke in and is just playing with the machine. Of course the same is true for the balls. The machine just mixes the balls and pops them out randomly.