Not just statistic. There are plenty of smart defcon people who understand statistics but don't understand that if you start winning they'll just kick you out.
I am very doubtful. Outside sports betting (where you can actually outsmart the house) we loved winning players when I worked in online gambling. Winning players are much more likely to return and lose more than they ever won.
Not sure that's true, actually. The usual strategy appears to be to comp the gambler with generous stays at the casino they're a patron of, with the expectation that they'll dump their winnings back in the next day.
Taken with a grain of salt, as my only knowledge of this is via Hollywood movies. It does make sense from a game theory perspective though.