When playing a game of blackjack, what are the odds that you will be dealt BlackJack on the first deal? Assume you are playing with one opponent and your opponent is the dealer.
Note: 10, jack, queen and king all are worth 10. Aces are worth 11.
You have blackjack when the values of both your cards add up to 21. There is only one deck of cards being dealt out.
(In reply to
re: Decks? by fwaff)
One of my biggest pet peeves is people who don't understand that the chances of two cards being blackjack are the same no matter which two you use from the deck. I used to play poker with a group of guys that swore that when cards were dealt out of order that their hands were being ruined. Never did someone say that theri hand was getting better, though this would be the case just as often.
As for the probibility, it is just a simple calculation - your method looks right to me. I would have done it slightly differently though (5/13)*((4/5)*(4/51)+(1/5)*(16/51)), which should give the same number (yup)