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Math Help - Simple Math "Progression" - Need Smart People Help

  1. #1
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    Question Simple Math "Progression" - Need Smart People Help

    Hello Everyone,

    Thanks for viewing this and hopefully helping me out with this problem...

    I'm writing a report on roulette and I need help figuring out a betting progression.

    The minimum bet is $5, and the maximum bet is $500.

    The "Martingale" theory is doubling your bet (playing black or red) until you win. However, I need a more mathematically correct betting progression.

    So the question is, what betting progressions can survive 8 or more spins?

    Here is an example of one betting progression that lasts 8 spins but does not hit the $500 limit (the next bet would be above the limit), and does not yield a profit, only breaks even)

    $5
    $5
    $10
    $20
    $50
    $100
    $200
    $400

    The main progression I am looking for is the one that lasts 8 spins, and yields the highest profit!

    Thank you so much to whoever can figure this out for me, as I'm absolutely horrible at math!

    Thank you!
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  2. #2
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    It's not clear to me what you are looking for here. Obviously, the progression that gives the biggest profit would be one where you win every time. In such a progression you would bet, and win, $5 on every spin. Of course, you can't control that- that's the whole point.
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  3. #3
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    Hi,

    Here's an example: (betting on red or black, which pays 1 to 1)

    Bet 1 $5 - Lose
    Bet 2 $5 - Lose
    Bet 3 $10 - Lose
    $20
    $50
    $100
    $200
    Bet 8 $400 - Win!

    So that betting progression allows 8 spins before you hit the max bet, as the 9th bet would be above $500 which is not allowed. The reason for the two $5 bets at the start is we're betting to either make a profit, or break even.

    If you bet $5 and win, the next bet would be $5. Only applying the progression on a loss bet.

    So again to clarify, I seek to know the best betting progression between $5 and $500 that will last 8 spins, and is the most profitable when you hit a win... assuming it could hit any time.

    Hope that makes sense!
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by McMoney View Post
    Hi,

    Here's an example: (betting on red or black, which pays 1 to 1)

    Bet 1 $5 - Lose
    Bet 2 $5 - Lose
    Bet 3 $10 - Lose
    $20
    $50
    $100
    $200
    Bet 8 $400 - Win!

    So that betting progression allows 8 spins before you hit the max bet, as the 9th bet would be above $500 which is not allowed. The reason for the two $5 bets at the start is we're betting to either make a profit, or break even.

    If you bet $5 and win, the next bet would be $5. Only applying the progression on a loss bet.

    So again to clarify, I seek to know the best betting progression between $5 and $500 that will last 8 spins, and is the most profitable when you hit a win... assuming it could hit any time.

    Hope that makes sense!
    The betting strategy with the highest expected return is almost certainly:

    $0,$0,$0,$0,$0,$0,$0,$0.

    with and expected win of $0.

    CB
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  5. #5
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    Quote Originally Posted by CaptainBlack View Post
    The betting strategy with the highest expected return is almost certainly:

    $0,$0,$0,$0,$0,$0,$0,$0.

    with an expected win of $0.

    CB
    Well put, Captain!

    McMoney, I don't understand your point. Yes, what you give is a possible progression but you asked for the "best betting progression" which you can't control. The best possible 8 be progression would be to win all 8 bet, thus winning 8(5)= $40, as I said. But, again, you cannot control that. Using the system you describe, your bets depend on what happens with the wheel- you can't control it. As Captain Black suggests, the best expected outcome is given by turning your back on the roulette wheel and walking out of the casino!
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