What are the odds of this happening in Blackjack?

Question

In a Blackjack game with 6 decks, what are the odds of the dealer hitting blackjack and a player hitting two Queens of hearts.

I figured the odds of hitting the two queens are:

(6/312)(5/311) = 0.000309176

and the odds of the dealer hitting blackjack in a 6 deck game are 0.04749, so the odds of both happening are (0.000309176)(0.04749) = 0.000014683 or 1/68,106.

Can anyone confirm these calculations?

Answer 1

Yes, you did it right.



I've seen the bonus game you're trying to do the calculations for. Remember to factor in the other pays if you're trying to find the house edge of the game in total. I've actually got two queen of hearts while playing at the table before (but I never play bonus games) and the dealer said they had paid out the big prize a couple days earlier.

Answer 2

Lucky Ladies Blackjack

Answer 3

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Answer 4

I think the most accurate way woudl be to use all permutations because you must consider the possible times when the dealer consumes a queen of hearts in the blackjack greatly altering the probibility of the event.



WOO lists 135360 permutations out of a total 9294695280 possible for a rate of 0.000015 a very similar number.



This event is relevant to the lucky ladies side bet for blackjack tables.



While the event is incredibly unlikely in contrast to the payout for the event, the hosue advantage is not as high as it suggests because of the other payouts. For example, you may be dealt two queens of hearts only to find the dealer does not get a bj, in this event you still get payed typically 125:1



The bet is beatable with card counting methods revolving mostly around the queen of hearts, but it also beatabel to a lesser degree of efficiency with conventional card counting systems designed for attacking the based game of blackjack.



The bet is very profitable when attacked because the effect fo removal per point count grows exponentially offering very large player advantages in the very few hands offred at a player advantage.



The house advantage for the side bet is greatly reduced with MORE decks in play, unlike blackjack itself, which, **IN GENERAL** is the opposite.



When attackign this bet, hands at player advanatge are very rare, and represent less than 0.5% of all hands whitnessed. As i said, thoguh, the player advantage grows fast and hands at +110% average ROI are normal.

Answer 5

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Answer 6

the odds of getting a combination of 20 or 21 on a two card total is about 19%



I get where your going that the odds of getting two queen of hearts equaling 20 AND a dealer getting blackjack on the same hand is seen as a 1 in 68k hands



but almost any blackjack player will tell you getting 20 and losing to 21 happens ALOT more often than that!



Not sure what technical number of getting 2 queen of hearts is - I think its 6/312 is 1.9% to draw one queen of hearts!



technically I think its .000361% but I think it happens more than 1 in 68k



you play enough blackjack you are gonna get alot of weird configurations that equal you losing. Its part of the game; overall at blackjack your favored to lose!

Answer 7

If the dealer has blackjack and the player doesn't the player automatically loses.