Texas Hold’em Odds: Hole Cards To give you a greater understanding of how difficult it can be to predict an opponent’s hand, as well as giving you a better insight into how to count cards effectively, it’s important to know the odds of receiving some of the best and worst hole cards. Texas Hold’em Poker Strategy: 5 Rules to Live. Poker strategy is everything.Anyone who says otherwise is kidding themselves. Yet, it’s unbelievable how many poker players ante up for a war of attrition against seasoned poker veterans without any strategy in mind. Texas Holdem and Omaha do not use other than the five card rule. There is no condition in a five card hand where you can win the pot based on your sixth or seventh card. There are no tie breakers unless your best five cards are better than your opponents best five cards.

Good to Know Before MIT 15.S50 Begins

Poker / Texas Hold’em Rules

Usually, the first decision you make in a hand of Texas Hold 'Em Poker happens with your only knowledge being what your two cards are. When you look at your cards, be careful not to reveal anything with your reaction—facial or otherwise. However, there are 1,326 different starting poker hands in Texas Holdem, and even 270,725 poker hand variations in Pot Limit Omaha. While there are many different starting hands options in various games, the winning hand is determined by poker hand rankings consisting only of 10 options.

How To Win In Zynga Texas Holdem Poker

Obviously, you should know the ranking of the poker hands, and how cards are dealt in texas hold’em. Know the terms straight flush, four-of-a-kind (or quads), full house (or boat), flush, straight, three-of-a-kind, two-pair, pair, high card; know preflop, postflop, flop, turn, river.

Betting Rules

• You should know how betting in poker works. Understand the terms bet, raise, call, check, fold, and all-in. Check-raising means checking and then later raising in the same betting round.
• Know what a blind is. There will be a small blind and a big blind each hand.
• Know that preflop, the big blind is last to act. On each postflop betting round, the small blind is first to act, and the dealer is last to act. Know when a betting round ends (eg. if all players check, then the betting round ends).
• Other good terms to know for positions are cutoff (right of the dealer), hijack (right of the cutoff), under-the-gun (the person left of the big blind; first to act preflop).

Mathematical Concepts

In class we will run through an example to illustrate the terminology you should know.

• Suppose the pot has $500 in it, and your opponent bets another $250.
• You may call his $250, in which case cards are flipped over:
  • If your cards beat his, you win the whole pot of $500 + $250 (that he just put in) + $250 (that you just put in) = $1000. You profited $750 from this gamble.
  • If his cards beat yours, you get $0 back. You lost $250 from this gamble.
• Or, you can fold, resulting in a payoff of $0.
• In this example, we say that you are getting 3-to-1 odds to call. When you win, you profit 3 times what you risk losing.
• Suppose the probability that your cards beat his is 10%. Then your expectation for calling is 0.1(+750)+0.9(-250)=-150. By calling, you expect to lose $150 in the long run. Your expectation for folding is always $0. Therefore, you should fold, since your expectation for calling is negative.
• Suppose the probability that your cards beat his is 50%. Then your expectation for calling is 0.5(+750)+0.5(-250)=250. By calling, you expect to earn $250 in the long run. Therefore, you should call, since your expectation for calling is positive. If you were to play this game a large number of times, your average payoff per game would be $250, with 100% certainty. This is called the Law of Large Numbers.
• We say that a gamble has high variance if it takes a large number of trials to converge to the expected average payoff per game. A gamble has low variance if it converges quickly. In general, high variance means high risk, and high risk usually means higher reward, ie. higher expectation.

Book Recommendations

Miller, Ed, David Sklansky and Mason Malmuth. Small Stakes Holdem: Winning Big With Expert Play. Two Plus Two, 2004. ISBN: 978-1880685327. Only for limit hold’em, but still one of the classic books in poker and written by mathematicians.

Slightly outdated, but very good:

• Harrington, Dan. Harrington on Hold 'em Expert Strategy for No Limit Tournaments, Vol. 1: Strategic Play. Two Plus Two, 2004. ISBN: 978-1880685334.
• Harrington, Dan. Harrington on Hold 'em Expert Strategy for No Limit Tournaments, Vol. 2: Endgame. Two Plus Two, 2005. ISBN: 978-1880685358.

Rodman, Blair, Lee Nelson, Steven Heston, and Phil Hllmuth, Jr. Kill Phil: The Fast Track to Success in No-Limit Hold 'em Poker Tournaments. Huntington Press, 2009. ISBN: 978-1935396314.

Nelson, Lee, Tyson Steib, Steven Heston, Joe Hachem, and Bertrand Grospellier. Kill Everyone: Advanced Strategies for No-Limit Hold 'em Poker Tournaments and Sit-n-Go's. Huntington Press, 2009. ISBN: 978-1935396307.

More entertaining than educational:
Hansen, Gus. Every Hand Revealed. Kensington Publishing Corp., 2008. ISBN: 978-0818407277. [Preview with Google Books]

Not that practical, but theoretically very interesting:
Chen, Bill and Jerrod Ankenman. The Mathematics of Poker. Conjelco, 2006. ISBN: 978-1886070257.

Nazarewicz, Pawel. Building a Bankroll. Pawel Nazarewicz, 2012. ISBN: 978-0615589886. Mostly for full ring cash games.

Welcome!

This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left.

MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.

No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates.

Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using OCW.

How To Win Texas Holdem Poker

Made for sharing. Download files for later. Send to friends and colleagues. Modify, remix, and reuse (just remember to cite OCW as the source.)

Learn more at Get Started with MIT OpenCourseWare

Raising is what makes the game of Texas hold’em exciting. You should raise often, especially against weak opponents. You should also pay attention to how often your opponents raise.

Any time an opponent raises before you act, it’s time to reconsider whether your hand is good enough to play. I’m a fan of the raise or fold guideline.

If your hand isn’t strong enough to re-raise the raiser, go ahead and give him credit for having a great hand and fold—unless you’re already involved in the pot. In that case, it’s okay to call asingle raise and see what the flop offers.

Pay attention to position, too. Players who raise from early position usually have stronger hands than players who raise from late position.

Winning poker is aggressive poker, too. Players who win a lot of money at Texas hold’em don’t do it by calling a lot of hands down to the river.

If you have a big pair preflop, you should almost always raise. Big pairs play better against fewer opponents. The more people in the pot with you, the more likely it is that someone will drawout on you.

If you have more speculative hands preflop, try to get into the hand cheap with plenty of opponents. Then if you hit your hand, you can get paid off.

How To Win Money In Texas Holdem Poker

You should also raise aggressively preflop from late position if you have any reasonable hand and little opposition. You want to give yourself a chance of winning the blinds.