I was just reading another post where someone said something like, "I would never gamble. Gamblers are losers. I will only play when I have an advantage." This will sound familiar to all of us, because many of us (including me) tend to think this way. We think we are somehow better situated than the poor gambler who doesn't know what he's doing.
That got me thinking, "How are we better than the regular gambler?" The first response is "APs will realize their EV if they just play correctly and long enough." This is a true statement for all APs
in aggregate, but it is
not true for an individual AP. The individual AP can only expect a probability distribution centered on EV. In other words half of all APs will never realize their EV no matter how well or how long they play. But we all play on, expecting to reach EV (or better). In other words we
gamble on EV+ being our outcome.
So I think the reality is APs gamble with an expectation of approximately 0.5% and gamblers play with an expectation of approximately -0.5%. The probability distributions of both overlap to a significant extent, meaning that some degenerate gamblers will do better than some APs - even in the long run (which few of us reach anyway).
I've recognized that gamblers tend to have a higher average bet than most APs (well, higher than me anyway
). When I'm there betting 1 unit waiting for a positive count, they are swinging their bets from a few units to 50 or more. So I think gamblers' variance tends to be much higher than APs much of the time. And while I don't know how to prove it, I'm gonna bet that most gamblers don't have particularly sound money management. In other words they over bet their bankrolls. Some do not think in terms of bankroll, they play with all the money they have, or that they can borrow. So they have a very high risk of ruin.
So I think reality is:
- Casinos will hit their EV because they average their results across many thousands of people
- APs in aggregate will hit their EV for the same reason
- Individual APs and gamblers are both gambling that their individual outcomes will be on the plus side of the probability distribution
- More than a few APs will lose money no matter how well they play. We just don't hear much from them because many quit (survivorship bias)
- APs as a group practice better money management, so they are far less likely than gamblers to suffer a catastrophic result, even though a significant number of both are equally likely to have a losing result
So...successful APs are successful not so much because they play with a probability advantage, but because they play with the advantage of a money management approach that helps guard against disaster. I think they also play with a different
purpose, and perhaps this is the true advantage, the reason that advantage play and gambling are so different.