> I'm trying to figure out the odds before anything is drawn. A good > example: how does one calculate the odds of drawing a 5 card flush > before the first card is dealt?
The chance of the first card meeting the flush requirement is 1, because all cards can be part of a flush. The second card is 12/51, as we've removed one "good" card -- one of the appropriate suit -- from the deck. Card 3 is 11/50 Card 4 is 10/49 Card 5 is 9/48 Total is 11880/5997600 == .00198, or about 0.2% Um, someone should probably check the actual calculation, but the theory should be right. Anyway... This assumes no draw, and no knowledge of the cards of any other possible players, and only 5 cards drawn. Things change slightly for things like Texas Hold'em, since you actually get 7 cards to work with. --Ben ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~| Discover CFTicket - The leading ColdFusion Help Desk and Trouble Ticket application http://www.houseoffusion.com/banners/view.cfm?bannerid=48 Message: http://www.houseoffusion.com/lists.cfm/link=i:5:142605 Archives: http://www.houseoffusion.com/cf_lists/threads.cfm/5 Subscription: http://www.houseoffusion.com/lists.cfm/link=s:5 Unsubscribe: http://www.houseoffusion.com/cf_lists/unsubscribe.cfm?user=11502.10531.5 Donations & Support: http://www.houseoffusion.com/tiny.cfm/54
