BlackjackDate: 10/01/2003 at 22:10:41 From: Therese Subject: Probability If you have a standard deck of cards, what is the probability of drawing blackjack if I draw the first two cards consecutively? Date: 10/03/2003 at 13:51:24 From: Doctor Ian Subject: Re: Probability Hi Therese, First, write down all the ways you could get blackjack: king(hearts), ace(hearts) king(clubs), ace(hearts) king(diamonds), ace(hearts) and so on. Count them up. This is the number of ways to get blackjack by drawing two cards. The number of ways to get _anything_ by drawing two cards is 52*51. (There are 52 ways to draw the first card, and 51 ways to draw the second.) The probability of getting blackjack is then number of ways to get blackjack p = ------------------------------- 52 * 51 Note that you might be able to get the numerator by being clever. For example, you can get blackjack by drawing a face card (or 10) and an ace. There are 16 ways to get a face card or 10. And there are 4 ways to get an ace. So there are 16*4 ways to get blackjack this way. What about other ways? Does this help? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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