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.

the number of ways of getting a black jack is one card of aces, and one card of 10,j,q,k. So it is 4 C 1 from the aces, and 16 C 1 for 10,j,q,k. Thus, the number of ways of getting 2 cards from a deck is 52 C 2. P= 4*16/(52 C 2)=32/663.

Posted by johnson on 2003-03-13 19:35:37