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
How To Get 21 In Blackjack
Blackjack odds are essential in deciding whether to Doubles Down or not or if it is a Good Idea to surrender. Learn how to look at the blackjack odds in order to make a knowledgeable and intelligent decision. Blackjack is one of the most interesting and exciting forms of poker. The basic of the game is to get a total of 21 cards in the deck.
For the rest of us, however, the odds are almost always against us when we take insurance. This is especially true for online blackjack since the decks are shuffled before every single hand. Another reason to avoid insurance is because the more decks being used in the game, the worse the odds get. Assuming six decks and the dealer stands on soft 17, here is the probability of the dealer getting a 21 (or a blackjack in the case of two cards), according to the total number of cards. Probability of Dealer 21/BJ. Here are the odds for the final hands that the dealer will make: Natural 21 – 4.82% 21 (3+ cards) – 7.36% 20 – 17.58% 19 – 13.48% 18 – 13.81% 17 – 14.58% 16 – 28.36%. The odds vary depending on the game rules and the number of decks, but the odds of a dealer busting in blackjack are about 30%. What is the house edge in blackjack? The house edge in blackjack is the percent of the player’s initial bet that the casino should expect to win in the long-term.
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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)).
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
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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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!'
I think I colored up after that, because I wanted to leave on a high point ;-)
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.
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.
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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.
You neglected that the cards may be dealt in either order, so the probability is twice as great as you calculated.
What Are The Odds Of Getting A Blackjack
You neglected that the cards may be dealt in either order, so the probability is twice as great as you calculated.