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Extra info for A Guide Book of United States Coins - Griffin
Figuring the odds for making a hand is done on the basis of the number of unseen cards and the number among them that will make the hand. In five-card draw there are 47 unseen cards — the 52 in the deck minus the five cards in your hand. If you are holding four of a suit, nine of the 47 unseen cards will give you a flush and 38 won't. 22-to-l. 88-to-l. 33-to-l. With a joker in your hand, the chances of making a straight improve dramatically; Pot Odds 37 instead of having eight or nine cards to help your hand, you might have 12 or even 16.
Although the pot has grown to $180, you must put in a total of $40. If the original bettor reraises, your odds drop to 32/3-to-1. The pot grows to $220 (assuming the opponent behind you calls the reraise), but you have to put in $60. What's more, your chances of winning, even when you make your hand, have certainly decreased with all that raising going on between your opponents, suggesting they have pretty big hands. 42 Chapter Five How does the concept of position vis-a-vis pot odds work in practice?
For the finicky, the exact equation is 10/47 x 9/46. Ten of the 47 unseen cards make a four-flush on fourth street, and then nine of the 46 remaining cards will produce the flush at the end. 52 Chapter Six just given, if either you or your opponent were all-in when the opponent bet $10 on the flop and you called, it would be worth drawing to your back-door flush since it would now be a case of getting 26-to-1 on a 24-to-1 shot. However, you must remember that the chances of making the hand you are drawing to are not the same as your chances of winding up with the best hand.