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Topic: Poker probability

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	Poker probability - Wikipedia, the free encyclopedia
		In poker, the probability of each type of 5 card hand can be computed by calculating the proportion of hands of that type among all possible hands.
		Here, the probability is the frequency of the hand divided by the total number of 5 card hands, and the odds are defined by (1/p) − 1 : 1, where p is the probability.
		To understand these derivations, the reader should be familiar with the basic properties of the binomial coefficients and their interpretation as the number of ways of choosing elements from a given set.
	en.wikipedia.org /wiki/Poker_probability (2881 words)

	Poker - Wikipedia, the free encyclopedia
		Poker is a card game, the most popular of a class of games called vying games, in which players with fully or partially concealed cards make wagers into a central pot, which is awarded to the player or players with the best combination of cards or to the player who makes an uncalled bet.
		Poker is played in a multitude of variations, but most follow the same basic pattern of play.
		Poker’s popularity experienced an unprecedented spike in the first years of the 21st century, largely because of the introduction of online poker and the invention of the hole-card camera, which turned the game into a spectator sport.
	en.wikipedia.org /wiki/Poker (1203 words)

	Poker probability (Texas hold 'em) - Wikipedia, the free encyclopedia
		The probability that a single opponent has a higher pair can be stated as the probability that the first card dealt to the opponent is a higher rank than the pocket pair and the second card is the same rank as the first.
		In a stud poker or community card poker game, cards that the player has seen because they are dealt face up are subtracted from the unseen card count (and from the set of desired cards as well if they are out of play).
		The probability of the straight flush is subtracted from the total because it is already included in both the probability of a straight and the probability of a flush, so it has been added twice and must therefore be subtracted from the compound outs of a straight or flush.
	en.wikipedia.org /wiki/Poker_probability_(Texas_hold_'em) (4468 words)

	Probability (Site not responding. Last check: 2007-10-21)
		In Cox's formulation, probability is taken as a primitive (that is, not further analyzed) and the emphasis is on constructing a consistent assignment of probability values to propositions.
		Probabilities are equivalently expressed as odds, which is the ratio of the probability of one event to the probability of all other events.
		Governments typically apply probability methods in environment regulation where it is called "pathway analysis", and are often measuring well-being using methods that are stochastic in nature, and choosing projects to undertake based on their perceived probable effect on the population as a whole, statistically.
	www.lowpricesstores.com /curiosity/Probability/Probability.htm (2661 words)

	FreeFiftyDollars.com - Poker Strategy - Probability and Odds
		Poker, especially at the lower limits, is largely a game of mathematical expectation.
		The probability (as can be seen in the table) that you will make your straight by the river is 31.45%.
		If your probability of winning the hand is greater than 20%, then it is definitely proper for you to call the bet.
	www.freefiftydollars.com /pokerodds.html (508 words)

	Rules of Card Games: Invented Poker Variations
		Normally poker hands are ranked, as much as possible, on the frequency with which the hands occur on the deal.
		This is a poker variant called switch which can be added to most other poker games. The primary bet is made. The deal of five cards (or seven, if that is the rule in your game). A round of betting and folding follows as usual.
		Strobe is a Hold’em-like poker game using both a standard 52 card deck and a standard six-sided die to create the best five-card standard poker hand from their hole cards and the community cards.
	www.pagat.com /invented/poker_vars.html (12703 words)

	THE POKER PLAYER ASSOCIATION (Site not responding. Last check: 2007-10-21)
		Poker is played in hundreds of variations, but most follow the same basic pattern of play.
		Poker’s popularity experienced an unprecedented spike in the first years of the twenty-first century, largely because of the introduction of online poker and the invention of the hole-card camera, which turned the game into a spectator sport.
		Poker is a microcosm of all we admire and disdain about capitalism and democracy.
	www.thepokerplayerassociation.com (1516 words)

	Math Forum - Ask Dr. Math Archives: High School Probability
		My co-worker prefers to bet the same set of five lottery numbers every time, but I say that the probability is the same if you randomly select any set five numbers for the same period of time.
		Calculate the probability that a baseball player batting.357 would hit safely in at least 56 straight games, during the course of a 162- game regular season, assuming 4 at bats per game.
		We would like to know how to calculate the probability of having pulled a card from a subgroup in the deck by the Xth turn, where X increases from 1 to whatever.
	mathforum.org /dr.math/tocs/probability.high.html (993 words)

	Video Poker Probability Distributions
		Video poker games tend to have high variance, and most of that variance is carried in the high payoff hands (typically Royal flush and special bonus hands such as Four Deuces).
		Although these hands have a major effect on the EV, for short term play, the probabilities of the common hands are more important.
		You really need a bit more than the curves indicate (ballpark estimate: 10%) to be sure you don't end up with playing more before the end of your trip more frequently than you had planned for.
	www.jazbo.com /videopoker/curves.html (876 words)

	Poker Probabilities - Probability Of Poker (Site not responding. Last check: 2007-10-21)
		In essence, in five card poker hands, we are interested in the total number of different hands that could be dealt at random.
		In probability, this problem is referred to as selecting the number of different five object combinations from a group of 52 cards.
		To determine the probability of a specific hand, we must determine the number of successful hands that can be created then divide that by the total number of hands possible.
	www.pokerexploit.com /article/probability-of-poker.html (464 words)

	Poker
		By the multiplication principle, the number of paths through the algorithm (and hence the number of poker hands with one pair) is the product of the number of ways of performing the various steps.
		Note that most of the probabilities are so small that they are essentially invisible in the graph.
		If the twins were to play one poker hand every second, they could expect to play about 81 years before this event might reasonably occur.
	www.ship.edu /~deensl/mathdl/stats/Poker.html (1085 words)

	[No title]
		Poker Hands: One Pair 3(3(10(J(K(42.23% Two Pair 3(3(10(10(Q(4.754% Three of a Kind 3(3(3(5(8(2.113% Straight 3(4(5(6(7(0.3925% Flush 3(7(9(Q(K(0.1965% Full House 3(3(3(J(J(0.1441% Four of a Kind 3(3(3(3(10(0.024% Straight Flush 3(4(5(6(7(0.00139% Royal Flush 10(J(Q(K(A(0.000154% Example: Find the number of “one pair” poker hands.
		So the probability of being dealt a “one-pair” hand is: EMBED Equation.3 We need to keep this discussion relevant to Math 112.
		Find the probability of being dealt a “high card” hand - that is, nothing of value.
	darkwing.uoregon.edu /~ajordan1/PokerProbabilities.doc (672 words)

	Poker Probability
		In poker, the probability of each type of 5 poker card hand can be computed by calculating the proportion of poker hands of that type among all possible poker hands or not.
		Here, the probability is the frequency of the poker hand divided by the total number of 5 poker card hands, and the odds are defined by (1/p) − 1 : 1, where p is the probability.
		The final poker card can be any one of the 44 remaining poker cards whose poker card ranks are different from those of the 2 pairs.
	www.imperialpoker.com /poker/poker-probability/index.php (887 words)

	Gary Carson. Mathematics of poker.
		Probability is the branch of mathematics that's most relevant to the study of making winning bets.
		Most books on poker or gambling tend to not really get into that past combinatorial counting methods, which doesn't really give you the concepts of probability you need to lay a solid foundation of understanding the road to success in gambling.
		When most people think of the topic of poker math they tend to think in terms of calculation of simple probabilities and pot odds.
	garycarson.netfirms.com /probability.htm (1093 words)

	Poker Card Odds and Probability - by Casino Man.Net
		Poker is a card game played with a normal deck of 52 cards.
		In straight or draw poker, each player is normally dealt a hand of five cards.
		The probabilities of being dealt five-card poker hands of a given type (before discarding and with no jokers) on the initial deal are given below (Packel 1981).
	www.casinoman.net /content/science/poker-odds-probability.asp (213 words)

	QA - Poker Probabilities
		Poker probability explains and state the standard probabilities very well.
		Poker is played all over the world and is extremely popular everywhere, mainly because of internet, and the possibility to play online outside state control which’s very restrictive in most countries.
		The probability of getting a flush is the ratio of the number of ways of getting a flush divided by the total number of hands; it is 5148/2598960 = 33/16660 =.001980792317.
	www.probabilityof.com /poker.shtml (2568 words)

	Poker dice probability
		In Poker Dice, the aim is to throw the highest combinations as used in the...
		Poker Hand with At Least One Ace [04/07/2003]: What is the probability that a five-card poker hand...
		Poker dice is an example of this family.
	www.angelfire.com /planet/jason67/pokerdiceprobability.html (837 words)

	The Poker Gazette (Site not responding. Last check: 2007-10-21)
		A popular way to figure out if you should draw or not in Texas hold’em is to think of probability in an negative way.
		If you know the relationship between the odds of not making your hand and the money you will win if you hit your draw, you will be playing good statistical poker and be on your way to being a long term winner.
		This is using probability in a positive sense to figure out if you should draw or not.
	pokergazette.com /simpnews/singlenews.php?lang=en&layout=def&category=1&newsnr=1415 (451 words)

	Poker.Net - Poker Tips
		To be taken seriously in Poker as in life, you must appear to be in control and seem like you know what you're doing.
		A player who knows the poker probabilities of drawing and improving hands has a decided edge over the player who thinks he knows.
		They are probabilities, not laws; and they do not supply a surefire recipe for winning.
	www.poker.net /school/tips/default.htm?from=31 (281 words)

	Poker head - Probabilities of different poker hands (Site not responding. Last check: 2007-10-21)
		Also I have to mention that poker is played in 5, 6, 7 studs most often and here I have provided the odds for 5 and 7 poker studs.
		For calculating poker probabilities, there are a couple of formulas to be used.
		For example to find out the number of possible hands in different poker studs (y), you have to calculate the Combination of the card deck (x) and the number of studs.
	www.poker-head.com /poker_probability.htm (248 words)

	Probability in Poker - InDepthInfo
		But it is not our object to teach that facet of the game today.', 'Definition of Poker', 400,190,10,50)">poker player a fair knowledge of the laws of probability are essential.
		If you are seated at a poker table and have drawn a flush, it would be very helpful to know what the chances are that one of your opponents has put together a superior hand.
		No doubt this sounds complicated, and some of the mathematics involved will be beyond the average poker player's immediate ability, having no calculator handy and being pressured by his or her fellow players to either "put up or shut up".
	www.indepthinfo.com /probability-poker (258 words)

	888 Poker - Probability in poker (Site not responding. Last check: 2007-10-21)
		In the poker, the probability of much of events can be determined by direct calculation.
		This article gives the probabilities and the chance for much of events generally of occurrence in the play of the Texas Holdem.
		A comprehension of the terminology and discussion of poker, the reader can wish to read the poker, the probability of poker, and the Texas Holdem.
	www.888-poker.eu.com /probability.html (178 words)

	winning texas hold'em poker probability (Site not responding. Last check: 2007-10-21)
		Online poker tournament create unique challenges because the blinds increase between 8 and 20 minutes depending on whiche site you are playing on.
		In my ebook I look at when AQ is dominated and how much of an underdog it is. So I want to take the next few chapters and look at different starting hands, when you are trying to get heads up the win chances and the probaility that someone has you dominated and how badly.
		This is a hand that is good to be aggressive with but be willing to let go of in the right situations.
	www.totalpokerpro.com /j8.html (295 words)

	888 Poker - Tips, Tricks and More (Site not responding. Last check: 2007-10-21)
		Against only one or two opposing, your probabilities they are good that nobody has one enough good hand to call.
		Against the three or most opposing ones, at least one of they probably makes, so as to to make the bluff it is improbable to succeed.
		But making bluff against that probably it has only a small connection he is more probable to succeed, even if you do not have nothing that seems threatening approximately your own cards.
	www.888-poker.eu.com (349 words)

	Texas Holdem Poker probabilities
		Notice how the probability is close to a multiple of 2, so you could use this a quick way to asses your chances of hitting your missing card.
		There are two jacks in the deck that you haven't seen so the probability of hitting a jack is 2/47, or 0,0426 which is roughly 4,3 percent.
		Therefore the probability of hitting a jack is 2/46 or 0,0434, which also roughly is 4,3 percent.
	www.guide2casino.com /asp/texas_holdem_poker_probability.asp (685 words)

	♠Ask the Wizard: Blackjack Probabilities
		The probability of being dealt 3 jokers in a row from a six deck shoe (plus the 3 jokers) is 1/combin(315,3) = 1 in 5,159,805.
		The probability of this is the probability that the first four cards out of the shoe are aces, and the next four are tens, or (combin(24,4)/combin(312,4))*(combin(96,4)/combin(308,4)) = 1 in 4,034,213.
		According to my FAQ the probability of an overall win in fljack is 43.33%, a tie is 8.78%, and a loss is 47.89%.
	wizardofodds.com /askthewizard/blackjack-probability.html (3544 words)

	Poker Hands Probability
		Poker psychology includes your attitude towards your luck, and everyone else's attitude when you are lucky.
		If the first round is passed out (that is, no one opens), then the player to the dealer's left may now open if he chooses, but the game has switched to California lowball.
		Played at Fixed limit, it is recommended that the betting structure be 1-2-2-4; that is, the second and third betting rounds should allow a bet of twice the amount of the first round, and the final bet should allow four times the amount of the first round.
	www.poker-players.biz /Poker-Hands-Probability.html (860 words)

	Gambling Guide > Casino Games > Poker > Poker Strategy > Poker Probability
		This page (in progress) is intended to cover aspects of probability that are specific to poker, or that are explained in terms of poker.
		He will calculate his probability of success as 8/47: 4 4s and 4 9s make 8 useful cards, and 52 cards minus the 5 he has already seen make 47.
		The fact that some of those unseen cards have already been dealt to other players is irrelevant, because he has no information about whether his desired cards are among the stub or his opponents' hands, and must act based only upon information he does have.
	www.poker.freegames.eu.com /strategy/probability.html (296 words)

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