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Gamblers, I need to ask you something


Hubbs

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Can you tell me what I'm missing? I don't see it there.

You're missing that every bet but one (including the ones you're proposing) has a house advantage of 5.26%. Over time, that's how much you lose, and it doesn't matter how you place the bets to do it.

Your way, you will win a little bit most times, and lose big occasionally (a little like a Martingale, which doesn't work either). You'll end up down, on average, 5.26%, just as you would if you did the opposite, and put a small amount on one number, where you would lose small most of the time, and win big occasionally.

Either way, you end up losing 5.26%, over the long run. You can't change expected value by how you place the money.

Or, to be more specific, from that page:

Betting Systems

Ugh. If you think you can beat roulette with a betting system please read my section debunking betting systems. If you don't believe what I say there, here is what the Encyclopedia Britanica says under the subject of roulette:

The oldest and most common betting system is the Martingale or "doubling-up" system, in which bets are doubled progressively. This probably dates back to the invention of the Roulette wheel, but every day of the week some gambler somewhere reinvents it, or some variation of it, and believes he has something new. Over the years hundreds of "sure-fire" winning systems have been dreamed up, but regardless of what system is used, in the long run it cannot overcome the house's advantage of the 0, or 0 and 00. This house advantage is the only system that consistently wins in the long run.

"No one can possibly win at rolette unless he steals money from the table while the croupier isn't looking." — Albert Einstein

What you are proposing is a betting system, and as Professor Shackleford (he actually teaches Casino Math at UNLV, as I recall) notes, betting systems don't work. Here's the page he's talking about.

As a side note, Wizard of Odds is a great all around website for the mathematics and statistics of gambling.

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