The same principle applies to tossing a coin. Throwing ten heads in a row doesn’t increase the chance of hitting tails the next time. Each throw is an individual probabilistic event, 50/50 with a true coin. One myth with a modicum of truth to it is that the casino can alter pay-outs and other factors remotely.
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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
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.
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.
Blackjack Probability Tables
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.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.
Probability Of Being Dealt Blackjack
You neglected that the cards may be dealt in either order, so the probability is twice as great as you calculated.