My professor mentioned this roulette strategy in class. He says it worked for him, and he's got a priceless reputation for being overly honest. Personally, I've never played roulette before until tonight, and I don't have the algorithm for how his theory works.
Anyways, curious as to what you think the pros/cons of this strategy are. Don't worry - I can't personally see myself ever playing this game and expecting to win, just curious what you think about the expected value here.
Here are the rules of my professor's game:
Roulette has "dozens bets."
Definition of Dozen Bets: a bet on either the first (1-12), second (13-24), or third (25-36) twelve numbers. Payouts on these bets are almost always 2-1.
Prof's rules:
1. Pick two dozens (Ex: I picked 1-12, and 13-24).
2. Bet those two dozens every time. You should win approximately two-thirds of the time. (In American roulette, they have 0 and 00, so this actually makes your win rate less than two-thirds of the time.)
3. If you win, keep your bet the same.
4. If you lose, double your bet. Repeat until win. Once you win, decrease your bet to your original amount.
The overall goal of Prof's game was, and I quote:
"My hypothesis was, if I can find a game where you can stay in the game for the longest period of the time . . . well at some point you're up, you quit when you're up, it'll work."
OBVIOUS FLAWS:
1. Casinos impose betting limits. They're also aware of the double-your-bet theory, aka the Martingale system.
2. Tipping kills your EV here, unless you're playing for larger sums than $2 bets and only tipping $1. (I am unfamiliar with roulette tipping etiquette in the real world.)
Example w/ $2 as my base bet, and doubling both dozen bets when I lose:
https://casino.bodog.com/free-roulette.jsp
- win
- loss
- win
- win
- win
- win
- loss
- win
- win
- loss
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This site contains other strategies besides the Martingale, such as doubling your bets when you win:
https://www.roulettetactics.com/roulette/strategy/