Odds on Blackjack
I am wondering if anyone knows what the odds are of playing blackjack in a casino that uses a 6 card shoe. What are the odds of being dealt 2 queen of hearts versus a dealer blackjack? This is a side bet at one of the local casinos. It pays 1000:1 so I'm wondering what the odds of being dealt it are! Thanks!
Comments
That's the Lucky Ladies sidebet, right? In a 6-deck shoe, there are 312 cards including 6 queens of hearts, 24 aces, and 96 ten-value cards(including the six queens of hearts.) The number of permutations giving two queens of hearts to the player and blackjack to the dealer are 6*5*24*94 + 6*5*94*24 = 135,360. And the total number of permutations for the player's and dealer's cards are 312*311*310*309 = 9,294,695,280. So the probability of the player's being dealt two queens of hearts and the dealer's being dealt blackjack is 135,360/9,294,695,280 or about one in 68,666.
See Wizard of Odds' page about Lucky Ladies here.