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Thread: BJA Floating Advantage question.

  1. #1


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    BJA Floating Advantage question.

    Hi, i'm reading BJA. Why the 7th & 8th column of these tables have different values? Shouldn't they be the same?

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  2. #2


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    In the 2nd column, why are there fewer hands at TC 2 than TC 3?
    Thanks.

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    San Jose Bella,

    The "Units Won" is equal to the "Per Hand Contr." times the "Units Bet".

    Hope this helps!

    Dog Hand

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    Quote Originally Posted by San Jose Bella View Post
    In the 2nd column, why are there fewer hands at TC 2 than TC 3?
    Thanks.

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    To clarify, back in the day that John Gwynn did this, he had taken to writing "Per Hand Contr(ibution)" to mean what we would write today as e.v. (of that particular true count bin). So, the Units Won (or lost) for any given horizontal line of true count is simply the product of Units Bet and the e.v.

    Don

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    Quote Originally Posted by San Jose Bella View Post
    In the 2nd column, why are there fewer hands at TC 2 than TC 3?
    Thanks.
    It is a rounding bias. TC +3 contains more RCs than TC +2 for the divisor and rounding technique being used.

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    A prime example is for the divisor of 1/2 for a half deck left. This is the same as multiplying the RC by 2 so you get no odd TCs.

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    Look at the link below:

    https://www.blackjackincolor.com/truecount1.htm

    You see the DD game's graph TC frequencies reduce on odd counts and go up on even counts. This is because using some divisors odd TC are impossible. For 6 deck the effect is too small a part of the sampling for any TC to cause this occulting effect, but at certain divisors it is there.

  8. #8


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    Quote Originally Posted by Three View Post
    Look at the link below:

    https://www.blackjackincolor.com/truecount1.htm

    You see the DD game's graph TC frequencies reduce on odd counts and go up on even counts. This is because using some divisors odd TC are impossible. For 6 deck the effect is too small a part of the sampling for any TC to cause this occulting effect, but at certain divisors it is there.
    Thanks, never knew that in a single deck there's no TC 3, 7, and 9.

  9. #9


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    Quote Originally Posted by Dog Hand View Post
    The "Units Won" is equal to the "Per Hand Contr." times the "Units Bet".
    Quote Originally Posted by DSchles View Post
    So, the Units Won (or lost) for any given horizontal line of true count is simply the product of Units Bet and the e.v.
    I understand the logic to get "Units won", but why is "Per hand contr." different for these two tables? Column 1-6 from tables 6.21A and 6.17A have the exact same values, how can "Per hand contr." be different?

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    Quote Originally Posted by San Jose Bella View Post
    I understand the logic to get "Units won", but why is "Per hand contr." different for these two tables? Column 1-6 from tables 6.21A and 6.17A have the exact same values, how can "Per hand contr." be different?
    San Jose Bella,

    Ahh... sorry for the confusion! I thought you were asking why Column 7 differed from Column 8 in each table. Instead, you want to know why Column 7 (and Column 8) is not exactly the same for each table.

    The explanation is given on page 82: Column 7 equals Column 3 divided by Total Hands.

    Table 6.17A is a segment of a simulation whose penetration is 5.00/6. As shown on the Summary Table 6.16 (page 86), for this penetration the Total Hands played is 436,923,359. Thus, the Per Hand Contr. for, say, the first row is found to be

    100%*(-2,320,393.0)/(436,923,359) = -0.53108...

    Table 6.21A is a segment of a simulation whose penetration is 5.50/6. As shown on the Summary Table 6.20 (page 87), for this penetration the Total Hands played is 480,070,015. Thus, the Per Hand Contr. for, say, the first row is found to be

    100%*(-2,320,393.0)/(480,070,015) = -0.48334...

    Hope this helps!

    Dog Hand

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    Quote Originally Posted by Dog Hand View Post
    Table 6.17A is a segment of a simulation whose penetration is 5.00/6. As shown on the Summary Table 6.16 (page 86), for this penetration the Total Hands played is 436,923,359. Thus, the Per Hand Contr. for, say, the first row is found to be

    100%*(-2,320,393.0)/(436,923,359) = -0.53108...

    Table 6.21A is a segment of a simulation whose penetration is 5.50/6. As shown on the Summary Table 6.20 (page 87), for this penetration the Total Hands played is 480,070,015. Thus, the Per Hand Contr. for, say, the first row is found to be
    He is talking about two sets of the same thing (.00 to 4.50 decks) in two different table (6.17A and 6.21A). Columns 1 thru 6 are identical in both tables with identical pen, but columns 7 and 8 inch table are different. I can't believe I am saying this but it looks like a mistake in Don's book, most likely in table 6.17A since 6.21 and 6.21A are identical but table 6.17A is different with all 3 tables having the same data for columns 1 to 6. All three are for penetration .00 to 4.50 decks according to their headers.

  12. #12


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    There's no mistake. See the explanation, very carefully laid out by John Gwynn, on p. 82. If anyone is still having trouble understanding, after reading carefully, let me know.

    Don

  13. #13


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    Quote Originally Posted by DSchles View Post
    There's no mistake. See the explanation, very carefully laid out by John Gwynn, on p. 82. If anyone is still having trouble understanding, after reading carefully, let me know.

    Don
    Don,

    Yes, the "reading carefully" part is the trick!

    Dog Hand

    P.S. When you issue BJA4, or Blackjack Attack: Playing the Pro's Way in the 21st Century™, 4th Edition - The Mother of All Weapons, you might consider reformatting these tables to clarify which ones go together, either by using different colors (or shadings), or by having a page break before each Summary table.

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