irish wrote: ↑Tue May 08, 2012 10:39 am
Again, I go back to the slot play comparison. A little old lady risks $50/wk on slots. Most of the time she loses some if not all, some time she wins some. One day, the slots gods smile on her and she hits a $3000 jackpot. If she does not change the way and the level at which she plays, she may never be a "net loser." Though the likelihood that she'll draw down on that $3000 jackpot is quite high.
The longer you play, the more obdurate the math becomes. Unfortunately, most craps players believe the longer you play, the more "experienced" and "knowledgeable" you become and that "knowledge" and "experience" can overcome the math.
THAT is really the gambler's fallacy.
So I have a few comments on Irish's gems of wisdom above (and I mean that with all sincerity).
Re: Old lady who plays $50/week on slots and wins a $3,000 jackpot. Irish: when you say "She may never be a net loser", is that because she is unlikely to *live* long enough to burn through that $3,000 win? Beacuse if she played a mere 60 weeks at $50/week always playing the 50 session bankroll to run, she will have burned through all $3,000 in winnings in five years:)
re: "The longer you play, the more obdurate the math becomes". This is what I have alluded to in past posts as the "law of large numbers".
The more you wager over time, the closer the results will be to the mathematical expected value of any given wager.
I don't know many habitual gamblers, who over the course of their lifetimes, stuck to a single low EV bet such as a "passline" bet, or a "banker bet" in baccarat.
Most people who gamble with any regularity, even people who eventually become card counters or die influencers, have wagered ALOT on different bets with different more negative EVs over the course of their lifetime. Many of the bets people have placed at some point in their gambling careers had really bad EVs, making it even true that in the long run, the house always wins.
If you view your gambling as one long "lifetime" session of all money wagered on all games of chance over the course of your lifetime, the likelihood that on the day you die, you have won more than you have lost at gambling is very low.
Here are the scenarios I can think of where a person ends their time on earth as a "net winner" at negative expectation games:
Scenario 1: The person rarely gambled at all over the course of their life. The exceptionally few times that they wagered money at a game of chance, they happened to win the wagers, and then walked away. Basically, someone who is not a habitual gambler, who played small and won small, and then died.
Scenario 2: The person was a habitual gambler for relatively small stakes who happened to score a single tremendous win such as winning a state lottery (when the jackpot pool had become very large) or winning a very large jackpot on a progressive slot machine. Their lifetime losses from all other gambling happens to be less than the net from the single large jackpot win.
Other than the two aforementioned cases, the law of large numbers overcomes short term variance over the course of everyone's life for people who gamble with any regularity.