# Winning system in Roulette

**URL:** <https://boards.straightdope.com/t/winning-system-in-roulette/248122>\
**Category:** Factual Questions\
**Created:** [June 1, 2004, 7:36pm UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122 "2004-06-01T19:36:05Z")\
**Posts on this page:** 10\
**Page:** 6

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**Author:** ![clairobscur](https://avatars.discourse-cdn.com/v4/letter/c/839c29/32.png) [@clairobscur](https://boards.straightdope.com/u/clairobscur)\
**Post date:** [June 4, 2004, 12:44am UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/101 "2004-06-04T00:44:27Z")

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> [@Shalmanese](#):
>
> One thing that never got answered to my satisfaction on this boards.
> 
> Assume you have an infinite bankroll and you play a modified roulette in which there is a 50% chance of gaining $1 and a 50% chance of loosing $2. Given an infinite amount of plays, will you always reach +$1000 at some point in your play?

As I just wrote, given an infinite bankroll and no house limit, you would eventually win at any game, even if the house edge is 95% instead of 5%. Doesn’t matter. Someday (perhaps one billion year later), you will be ahead of 1000 $.

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**Author:** ![clairobscur](https://avatars.discourse-cdn.com/v4/letter/c/839c29/32.png) [@clairobscur](https://boards.straightdope.com/u/clairobscur)\
**Post date:** [June 4, 2004, 12:46am UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/102 "2004-06-04T00:46:49Z")

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> [@Munch](#):
>
> Fine. I have no idea where I would find a list of Vegas casino roulette table limits. Any ideas on how I could find out if there isn’t one table in Vegas with a $100,000 limit?

A 100 000 $ limit is still a limit. It doesn’t change a thing re the OP 's question.

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [June 4, 2004, 1:06am UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/103 "2004-06-04T01:06:10Z")

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**Clairobscur and Mathochist**  
Wow you folks take some postings much too seriously. Couldn’t you tell by the way I phrased that posting that it was incredibly facetious and sarcastic? I thought by using a generous amount of quote marks, I was showing everyone I was NOT in the least bit serious that this was a “sure-fire” system. You should read some of my other postings. I even quoted Dean Martin from Ocean’s 11 - \*“The odds are always with the house”. \* That is probably the best gambling advice of all.

Also, **Clarobscur** , did you notice that Mathochist had already “corrected” me on this and I responded that his posting was totally unnecessary because I was not serious?

Wow - the next time I make a less-than-serious posting, I should qualify it with a generous use of disclaimers, as they do in those ads for automobiles or pharmaceuticals.

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**Author:** ![EllisDee](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/ellisdee/32/4531_2.png) [@EllisDee](https://boards.straightdope.com/u/EllisDee)\
**Post date:** [June 4, 2004, 6:21am UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/104 "2004-06-04T06:21:28Z")

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> [@Ellis Dee](#):
>
> [The field is] not _precisely_ the same, but close enough statistically as to be indistinguishable. […] for a net $20 loss. Same damn bet.(Though roulette had $20 more action.) […] so the brutality of a 5.26% house advantage is easier to see on the field. (Okay, technically, 5.56% on the field. But anything over 2% is terrible.)

> [@Mathochist](#):
>
> No. The one is a $20 loss over 38 trials and the other is a $20 loss over 36 trials. That’s far from “statistically indistinguishable”…

Are you deliberately trying to be obtuse?

IMO, there is no statistical difference between a house advantage of 5.26% and 5.56% because **anything over 2.00% is a sucker bet**. Does that explain my wording to your satisfaction?

I understand math guys needing to nitpick, but I included the correct information, complete with both a cite of the $20 differential **and** the actual differences in house advantage, in the same paragraph you quoted. (Your main point, about the $20 difference in action, was pointed out in my very next sentence, which you snipped.)

I can only wonder why you felt the need for your “correction.”

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [June 4, 2004, 1:59pm UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/105 "2004-06-04T13:59:40Z")

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**EllisDee**  
I agree with you 100% about being “corrected” by someone who has not read a person’s entire posting (OR has not read later postings that refer to those “corrections”). You may have noticed I have also had similar experiences in this very thread.

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**Author:** ![Munch](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/munch/32/5281_2.png) [@Munch](https://boards.straightdope.com/u/Munch)\
**Post date:** [June 4, 2004, 2:13pm UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/106 "2004-06-04T14:13:09Z")

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> [@clairobscur](#):
>
> A 100 000 $ limit is still a limit. It doesn’t change a thing re the OP 's question.

1. I NEVER said it did change anything about the OP’s question.
2. Who cares if a $100,000 limit is still a limit? The point of my post was to point out that you could take the proposed Martingale a few steps further (yes, it still remains a losing proposition - a stance I haven’t wavered from in this thread you haven’t read).
3. Read all the posts in a thread before you respond next time.

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**Author:** ![Mathochist](https://avatars.discourse-cdn.com/v4/letter/m/c89c15/32.png) [@Mathochist](https://boards.straightdope.com/u/Mathochist)\
**Post date:** [June 4, 2004, 3:16pm UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/107 "2004-06-04T15:16:52Z")

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> [@Ellis Dee](#):
>
> I can only wonder why you felt the need for your “correction.”

I’m being pedantic about the term “statistically indistinguishable” because though _you_ may know what you’re talking about, I guarantee there are many who _don’t_, and will take your statement at face value. “Statistically indistinguishable” is a much tighter relation than the one you’re indicating, and letting it go just spreads ignorance about statistics.

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**Author:** ![Algernon](https://avatars.discourse-cdn.com/v4/letter/a/a183cd/32.png) [@Algernon](https://boards.straightdope.com/u/Algernon)\
**Post date:** [June 4, 2004, 3:58pm UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/108 "2004-06-04T15:58:19Z")

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> [@Mathochist](#):
>
> “Statistically indistinguishable” is a much tighter relation than the one you’re indicating…

That is probably true. You’re the expert. But to us non-mathematicians/statisticians, we understood the comment to mean “indistinguishable for all _practical_ purposes.”

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**Author:** ![Mathochist](https://avatars.discourse-cdn.com/v4/letter/m/c89c15/32.png) [@Mathochist](https://boards.straightdope.com/u/Mathochist)\
**Post date:** [June 4, 2004, 5:51pm UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/109 "2004-06-04T17:51:10Z")

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> [@Algernon](#):
>
> That is probably true. You’re the expert. But to us non-mathematicians/statisticians, we understood the comment to mean “indistinguishable for all _practical_ purposes.”

And then someone uses the term accurately and the common interpretation is weakened by misuse. Sloppy thinking is the first circle of ignorance hell, and last I checked there was still this banner up at the top of the screen…

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**Author:** ![Shalmanese](https://avatars.discourse-cdn.com/v4/letter/s/45deac/32.png) [@Shalmanese](https://boards.straightdope.com/u/Shalmanese)\
**Post date:** [June 5, 2004, 11:57am UTC](https://boards.straightdope.com/t/winning-system-in-roulette/248122/110 "2004-06-05T11:57:54Z")

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> [@clairobscur](#):
>
> As I just wrote, given an infinite bankroll and no house limit, you would eventually win at any game, even if the house edge is 95% instead of 5%. Doesn’t matter. Someday (perhaps one billion year later), you will be ahead of 1000 $.

No. At least, it’s not always the case. Consider the sum of 1 + 1/2 + 1/4 + 1/8… While it is an infinite sum, it has a finite limit. So, even though you always have a non-zero chance of getting to +$1000, the fact that you are getting farther and farther away means that it could quite well mean there is only a finite possibility that you will reach +$1000 and it is not guarenteed.

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