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Thread: What Are the Odds of Getting a Blackjack in Spanish 21

  1. #1


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    What Are the Odds of Getting a Blackjack in Spanish 21

    I believe in regular blackjack you get a blackjack about once in every 21 hands. Anyone know what the odds are in a Spanish 21 8 deck game?

  2. #2


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    With a single deck, the odds are 1 in 27.625. So probably a bit higher then that.

  3. #3


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    Quote Originally Posted by Midwest Player View Post
    I believe in regular blackjack you get a blackjack about once in every 21 hands. Anyone know what the odds are in a Spanish 21 8 deck game?
    Recently I've been researching Spanish 21. Let us consider an infinite Spanish 21 deck,
    Card rank: 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K, A
    Card Number: 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4

    Probability of an ace card: 1/12
    Probability of a ten-valued card: 3/12
    Probability of a blackjack: (1/12)x(3x12)x2=4.17%

  4. #4
    Random number herder Norm's Avatar
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    I used to have an infinite shoe. The landlord complained. Worse yet, it altered the Earth's orbit, among other problems. I got rid of it. Sadly, too late for the dinosaurs.
    "I don't think outside the box; I think of what I can do with the box." - Henri Matisse

  5. #5


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    I was waiting for some aceside math. MWP - what is the probability that you'll believe his result?

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    Quote Originally Posted by 21forme View Post
    I was waiting for some aceside math. MWP - what is the probability that you'll believe his result?
    I have admitted serval times here, I've never had a math degree, so you must watch my math!

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    Quote Originally Posted by aceside View Post
    I have admitted serval times here, I've never had a math degree, so you must watch my math!
    While I don't like speaking for others, I suspect that most forum members would prefer not to see your math.
    What happened to your "read more, post less"?

  8. #8


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    Quote Originally Posted by aceside View Post
    Recently I've been researching Spanish 21. Let us consider an infinite Spanish 21 deck,
    Card rank: 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K, A
    Card Number: 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4

    Probability of an ace card: 1/12
    Probability of a ten-valued card: 3/12
    Probability of a blackjack: (1/12)x(3x12)x2=4.17%
    Close enough. But the OP asked for eight-deck, so why not show the calculation for that? 2 x (32/384) x 96/383 = 4.1775%.

    Don

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    Quote Originally Posted by DSchles View Post
    Close enough. But the OP asked for eight-deck, so why not show the calculation for that? 2 x (32/384) x 96/383 = 4.1775%.

    Don
    Can’t resist.
    Don, you’re wrong. Dealer gets card before players first card. Assuming dealer doesn’t doesn’t have an ace or face in the hole
    2 x (32/384) x 96/382=4.1884

  10. #10


    1 out of 1 members found this post helpful. Did you find this post helpful? Yes | No
    Quote Originally Posted by Midwest Player View Post
    I believe in regular blackjack you get a blackjack about once in every 21 hands. Anyone know what the odds are in a Spanish 21 8 deck game?
    For regular BJ in 8D we have:

    32/416*128/415*2 = 0.04745
    1/0.04745 = 21.07 or once every 21 hands.

    For Spanish 21 in 8D we have, as Don well said:

    32/384*96/383*2 = 0.04178
    1/0.04178 = 23.9375 or once every 24 hands.

    Sincerely,
    Cac

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