I watched the video again, and took some notes. I watched a second video, in which Gene Gioia explains his system. I also read information at realdealpoker.com.
What are the "three cards" that you say are not in play?
Regarding burn cards, there's a printed statement in the video you referenced [4:22] that reads, "These burn cards are taken from the deck the same way they are in a real game." Yet, their web site states that "RealDealPoker
software burns a card …" (emphasis mine).
Tell me, if I'm wrong. In a real poker room, the dealer burns a card (or cards) from the top of a shuffled deck. These cards are placed face-down on the table and are out of play. When using Gioia's Random Card Generator (RCG), the machine creates a digitized list of the order of all 52 shuffled cards. By stating that it's the software that burns the cards, I'm guessing that they mean the first card(s) are removed from the beginning of the digitized list. Is this how you understand it?
Regarding the use of random-number generators (RNG) to choose the cards dealt, someone in the video states [3:10], "This effectively means the entire deck is always in play, which has a profound impact on the game play and the odds." Can you say what you think the meaning is for the phrase, "the entire deck is always in play"? I'm not sure I understand or agree.
Here are two points that seem pertinent.
(1) In the other video I watched (
https://www.youtube.com/watch?v=Ndit25Cgbk0), Gene Gioia claims that Robert Hannun, Professor of Risk Analysis & Gaming at the University of Denver, subjected spreadsheet data from Gioia's system to several tests for non-randomness. Analyzing hundreds of deals from two decks, Hannun was unable to find any evidence of non-randomness. Dr. Hannun is a recognized authority in gaming mathematics, is well-published, regularly consults with casinos and game developers, and has served as an expert witness on the mathematics of gambling and poker in both criminal and civil cases. If he determined that Gioia's RCG is random, that would be good enough for me. Gioia says (in the video) that a copy of Hannun's report is available at realdealpoker.com, but I could not find it. Why is Hannun's determination important? Because of (2).
(2) Random number generators cannot produce numbers that are truly picked at random. Volumes of material have been written about this. Google keywords like "how random are random-number generators". You'll find interesting articles,
like this one, which also describes TRNG (truly-random number generators).
I don't play on-line games, so I was a bit surprised to learn that on-line games involving real money are still very susceptible to bots posing as players. It seems like the RCG would be a good defense for this, as a bot would be unable to cut the deck (requires using a mouse), thus exposing itself. Also, the fact that RCG produces a video record of each shuffled deck's card order (for auditing purposes) is what I think is needed, where real money is involved. One cannot file claims against an RNG.
I'm interested to see your answers, before thinking more about RNG vs RCG in on-line poker. :cool: