Blackjack Double Down Probabilities. This chart shows exact percentages for how often each double-down hand in blackjack will win, push, or lose. The figures quoted are for a 6 deck game where the dealer stands on all 17s. The dealer is assumed to have already peeked under tens and aces and does not have blackjack. The probability to get a blackjack (natural): 64 / 1326 =.0483 = 4.83%. 2) Let's do now the calculations for arrangements. (The combinations are also considered boxed arrangements; i.e. The order of the elements does not count). The odds of getting a natural blackjack are, undoubtedly, 1 in 21 hands (a hand consisting of exactly 2 cards). Such a case is non-existent in real-life gambling, however. There are at least TWO participants in a blackjack game: Dealer and one player. Probability of getting a blackjack with one deck To purchase digital games directly probability of getting a blackjack with one deck from Nintendo.The Dealer is the person who is at present giving out the cards. In other words, someone might go to the casino play 500 hands of blackjack, and wonder why they didn’t get 24 natural blackjacks, or the other way around, why they got 42. The thing is, odds and statistics are all about the long run.

Probability Of Getting A 20 In Blackjack

L8lori

Wizard,
You have an awesome sight & I have enjoyed your articles for a few years now.. thank you for giving us this web site.
I am been running different numbers thru my head trying to come up with a way to compute the probabilities of getting 3 blackjacks in a row with a 6 deck continuous shuffle machine? Or even the odds of getting 5 blackjacks in a row with the same situation?
Also.. I saw a casino promotion where you got a drawing ticket every time you were dealt a red queen and a black ace.. is there a way to calculate my odds of getting this type of hand in blackjack?
Thank you
L8lori

HKrandom

Odds of getting a blackjack are roughly 4/13*1/13*2 so the chances of that happening 3 times in a row are about 1 in 10,000 and the chances of getting 5 in a row are about 1 in 4,200,000. The chance of getting a red queen and a black ace is 2*2/52*2/52 or 1/338.

Ayecarumba

From the Wizard of Odds Blackjack page, the probability of getting a blackjack on a six deck game is: 0.047489. The probability of this happening three times in a row is: (.047489)^3 = .00010709743 or 1 in 9,337
Edit: FYI, from the Wizard's Blackjack page, the general formula for calculating the odds of a blackjack in n decks is: 2*(4/13)*(4n/(52n-1)).

Simplicity is the ultimate sophistication - Leonardo da Vinci

mkl654321

I'm glad it's that low, because I ever actually got three blackjacks in a row, the earth would open up and swallow me and the casino.

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ElectricDreams

I'm glad it's that low, because I ever actually got three blackjacks in a row, the earth would open up and swallow me and the casino.

I got two in a row a few days ago. I was all like 'yay! Blackjack again!'
Probability of being dealt blackjack

I think I colored up after that, because I wanted to leave on a high point ;-)

Ayecarumba

I saw a casino promotion where you got a drawing ticket every time you were dealt a red queen and a black ace.. is there a way to calculate my odds of getting this type of hand in blackjack?

In a six deck shoe (or CSM) there are 12 red queens and 12 black aces. The odds of getting dealt one of each is (12/312)*(12/311) = .001484 or 1-in-674.

Simplicity is the ultimate sophistication - Leonardo da Vinci

Ayecarumba

I'm glad it's that low, because I ever actually got three blackjacks in a row, the earth would open up and swallow me and the casino.

1-in-9,337 is not that unusual, when, according to the Wizard, the odds of getting a royal flush in VP, if all you did was try to get a Royal every draw are 1-in-23,081.

Simplicity is the ultimate sophistication - Leonardo da Vinci

PapaChubby

In a six deck shoe (or CSM) there are 12 red queens and 12 black aces. The odds of getting dealt one of each is (12/312)*(12/311) = .001484 or 1-in-674.

This Bonus is followed by other Bonuses for next deposits as part of the Welcome Package. https://newsphere.amebaownd.com/posts/16582728. Two other casino sections offer different Welcome Bonuses.

You neglected that the cards may be dealt in either order, so the probability is twice as great as you calculated.

PapaChubby

I don't think I have ever been dealt three blackjacks in a row, but I'm sure I've seen the dealer get 'em on several occasions. Sometimes the math just doesn't tell the whole story.

Ayecarumba

You neglected that the cards may be dealt in either order, so the probability is twice as great as you calculated.

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What Is The Probability Of Getting A Blackjack

Probabilities In Blackjack

Thank you for the correction PapaChubby. This is my calculation: (24 (12 red Q's and 12 black A's) / 312 total cards in six decks) * (12 red Q's or black A's, depending on what was dealt first/311) = 1-in-337

Blackjack Statistics And Probabilities

Simplicity is the ultimate sophistication - Leonardo da Vinci