THIRD, there is one thing you mention several times. That of probability. The problem with a negative expectation on the Wheel (-2.7%) is that there is no favorable probability (except a few specific shots from time to time). To hope for a positive wave remains a hypothesis so far that mathematicians have not resolved. The flat bet or progression is the same without a positive statistical expectation. The methods of the stock market trends for roulette have been at least 80 years old and the explanations have not changed! Sorry for Gismo!

What a moron. My student from across the world, just after 30 days of training at 2 hours per training session, went on to a 4.7 session win rate for every lost session he experienced for the next 30 days of 2 hour training times for each session. He did it right in front of me too. In fact I still have every email between us. He had my training software and he proved to me that someone could be taught in a short time to be an expert.

This is what happened. He lost the expected amount as you suggest must be lost in the long run. He just capitalized on the trends, just like the stock trader. Please take not that the stock trader stays out of huge losing trends. That alone changes the confounding arithmetic that you are so attached to.

So this is the reincarnation of Snowman, Caleb, The General, the life that never dies.

You made me so mad that I wanted to take on one more student just to prove you wrong. Same conditions, 2 hours per day in front of me emailing back and forth using my software for practice. ...and I just realized that your crud is troll craft. It is you that must prove it. 80 years of anything does not prove that that anything was ever right or wrong. I hold the winning hand here. I can destroy your assumptions of arithmetic and math any time I decide to wreck it all. You can't make me mad enough to wreck things. SOC...