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?

We are trying to find a handheld blackjack game that lets you double down on any cards. All we can find are games that let you double down on 10 and 11 only.

Essentially, as many examples of combinations of cards that you can make 21 in the blackjack game that you can think of, thanks.

Let’s say I’m on a cruise boat that’s just entered international waters, or the "high seas."

Lots of cruise boats open their onboard casinos at this time. There is no legal restrictions to the games they offer.

Could I, theoretically, legally take someone back to my room and spread a blackjack game? (which of course is illegal to do inside most countries)

Funny as it sounds, this is a serious question! I really would be interested in doing such a thing, despite the dangers of extremely angry players!

Thanks for your help.

Essentially, how many combinations of cards are there so that you can make 21 in the blackjack game.