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Thread: Gambling Mathematics Applied to Blackjack: Myth, Deception, Fraud of Counting Cards S

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    Default Gambling Mathematics Applied to Blackjack: Myth, Deception, Fraud of Counting Cards S

    Gambling Mathematics Applied to Blackjack: Myth, Deception, Fraud of Counting Cards Systems


    2. In-Depth Mathematical Analysis of BJ Counting Card Methodology

    Axiomatic ones, this is the most in-depth analysis of how blackjack card-counting works. We analyze a most ideal game case: One quarter of a deck, no neutral cards, a +3 count. That count figure is equivalent to a +12 count in one full deck of cards – as frequent an occurrence as once in 600 years of play (the lifespan of Biblical Noah!!!)
    • The card-counting gambling method is founded on the premise that high cards would assure that Player receives a high-count hand of 2 cards (H + H), while causing Dealer to draw and bust (H + L + H).
    It is obvious now that we work with sequences of 5 cards at a time: 2 for Player, 3 for Dealer. We simplify a great deal if we apply the numbers sets known as combinations instead of the arrangements type of sets. Combinations of (13 numbers taken 5 at a time) = 1287. We have only 8 high cards but only 5 low cards. So, among the 13 cards left in the deck, we can only have 2 5-card sequences of HH for Player and HLH for Dealer (BUST).

    Each of the two cases lead directly to a Player's win. By the same token, Dealer will have a mathematically equal chance to get 2 sequences in the format HH for her, HLH for Player (BUST). Let's suppose there are 2 Aces among the 8 high cards (the same proportion Ace/Tenas in the full deck). The Player is always favored in those two situations because of the BJ natural payout (3 to 2 in Player's favor); Dealer's natural is always paid 1 to 1.

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    Source: https://xkcd.com/410/
    Explanation: http://www.explainxkcd.com/wiki/inde...10:_Math_Paper

    Click on the following to see a demonstration of the mathematics of golf by Lord Parpaluck: http://www.gifbin.com/bin/102014/141...the_water.webm



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    Last edited by Dodo; March 31st, 2016 at 09:18 AM.

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