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Thread: Challenge for another (boring?) day

  1. #1


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    Challenge for another (boring?) day

    Thought you might enjoy a little challenge. On page 20 of The Theory of Blackjack, Griffin writes: "The decision not to double (6,2) v 5 must be the closest in basic strategy blackjack. The undoubled expectation is .130630, while doubling yields .130583."

    Giving the master the benefit of the doubt, perhaps he was referring to single-deck blackjack only, in which case, as always, he would be correct. But, allowing for any (standard) number of decks, any set of (standard) rules, there is a closer play, which, to my knowledge, is the absolutely closest play in the game.

    Do you know what it is? (Note: Griffin's difference, above, is 0.000047 -- 47/10,000 of one percent -- while the play I have in mind is 0.000029.)

    Don

  2. #2
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    My guess is A2vs5,2nd guess 12vs4

  3. #3


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    T2 v 4 in S17 game.

    Edited to add additional rules per Don - 6D, DAS, nRSA, no surr, BJ pays 2:1
    Last edited by 21forme; 03-30-2020 at 11:32 AM.

  4. #4


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    A,2 v 5

  5. #5


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    Won't comment yet on what might be right or wrong above, but would point out that number of decks and rules are needed as well.

    Don

  6. #6


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    Quote Originally Posted by umbrellaman View Post
    a,2 v 5
    8d, s17, das

  7. #7


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    A-2 vs 5 in 8 decks S17. Sorry umbrellaman, DAS has nothing to do with it ... LOL
    G Man

  8. #8


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    Quote Originally Posted by G Man View Post
    A-2 vs 5 in 8 decks S17. Sorry umbrellaman, DAS has nothing to do with it ... LOL
    You're right. I meant to write DOA but was sleeping.

  9. #9


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    Since we have a couple of correct answers, we'll cut this short: A,2 vs. 5, 8D S17 it is!

    Don

  10. #10


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    Don - I'm looking at App. E in Wong's Prof BJ. 6D H17 dealer shows 5. Hit EV = .138 Double EV = .141
    Are his numbers wrong or does the 8D game vs. 6D game make the difference?

    My choice, T2 v 4, 6D S17, stand EV = -.211, hit EV = -.210

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