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Thread: Standard Deviation Clarification

  1. #1


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    Standard Deviation Clarification

    "Standard deviation per hand" = 1.11
    "Standard deviation per wager" = 1.05

    So after $1 million coin in betting $1 per hand, has one played

    909,090 hands (1M÷1.11)

    Or

    952,380 hands (1M÷1.05)


    Whats the difference between SD per hand and SD per wager?
    May the Variance be with you.

  2. #2


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    Do you split , double and such in this game ?

  3. #3


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    Quote Originally Posted by stopgambling View Post
    Do you split , double and such in this game ?
    D9-11, split once, No DAS, 3:2bj

    Either 1.11 or 1.05 is the average units wagered per hand, i just dont know which it is, nor what the difference is between the SD "per hand" and "per wager"

  4. #4


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    Quote Originally Posted by blueman View Post
    "Standard deviation per hand" = 1.11
    "Standard deviation per wager" = 1.05

    So after $1 million coin in betting $1 per hand, has one played

    909,090 hands (1M÷1.11)

    Or

    952,380 hands (1M÷1.05)


    Whats the difference between SD per hand and SD per wager?
    blueman,

    Neither calculation is correct: the SD is not equal to the average wager.

    Where did you see this information about SD per hand and per wager?

    Dog Hand

  5. #5


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    Quote Originally Posted by Dog Hand View Post
    blueman,

    Neither calculation is correct: the SD is not equal to the average wager.

    Where did you see this information about SD per hand and per wager?

    Dog Hand
    http://www.beatingbonuses.com/houseedge.htm

    How is # of hands calculated based off of coin in?

  6. #6


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    Quote Originally Posted by blueman View Post
    http://www.beatingbonuses.com/houseedge.htm

    How is # of hands calculated based off of coin in?
    blueman,

    You need to know the average wager per round to perform that calculation.

    I spent a few minutes perusing the Beating Bonuses website.

    On the http://www.beatingbonuses.com/calc.htm page the calculator assumes a default average wager per round value of 1.13. Naturally, the actual value depends on both the house rules and your strategy, and can be found by simulation.

    On the http://www.beatingbonuses.com/blackjack.htm page I found the following quote describing the difference between "per hand" and "per wager" as applied not to SD but to EV:

    "Optimizing Strategy for a Wagering Requirement

    "The strategy charts above list the strategy decision (hit, stand, double, split, or surrender) that will produce the smallest expected loss for that hand. Consider the case where the player has A/7, and the dealer shows a 2 upcard. Under typical 6-deck rules, the EV for hit is 0.124 and the EV for double is 0.121, so standard strategy is to hit A/7 vs dealer 2. However, if minimizing loss over a wagering requirement instead of a hand, then the comparison is different. If you double, the EV for 2 units wagered is 0.121. If you hit the EV for that hand + the next unit wagered is 0.124 - expected loss per unit wagered = 0.124 - 0.004 = 0.120. The EV per two units wagered is greater for double than hit, so optimal strategy changes from hit to double. You will lose less over a wagering requirement if you double A/7 vs 2, but you will lose less on a particular hand if you follow standard strategy and hit A/7 vs 2. These differences are often negligible. Optimizing strategy for a wagering requirement usually reduces house edge per unit wagered by less than 0.01%. With 6 or more decks and favorable rules, the difference may be less than 0.001%. See my strategy exceptions list for more detail. These exceptions are used in the strategy calculator, when "per Wager" optimization is selected."

    From this information, we can see that the "normal" B.S. charts correspond to what the BB site calls "per hand".

    Hope this helps!

    Dog Hand

  7. #7


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    Well it sounds like its coincidence but the SD and the average units wagered are both 1.1

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