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  1. Eliminate Players

You should come in raising to cut down on the number of players against you.  Even though you may have a premium hand you should be more concerned about winning the hand rather than winning pot.

  1. If Another Player Besides Yourself Is About to Go All-in

You should consider betting or raising to ensure he does go all-in, even if, and especially if, you think he has you beat.  Getting him all-in does three good things for you:

    1. If he has you beat, then you have started building a side pot for yourself that he cannot win.  The earlier in the hand that you start to build a side pot, the more money you will win if you win the hand.
    2. If he does not have you beat and he does not win any of the main pot, then he will have to either buy-in for more money or leave the game and give the seat to a new player who will have a full buy-in.  both of these events have the effect of getting more money on the table and into the game, which is good for you.
    3. Your bet or raise may have the unintended side effect of driving out a player who might have poker bad beat you had you not bet or raised.
  1. Head-up

When you get a player all-in head-up against you, you have a special problem.  Depending on what you think he has, you might want to leave him with enough checks so that he ample, you have A♥ A♠, you raise pre-flop and your sole opponent reraises you, leaving him only $ 4 left to play the hand with.  Ordinarily, you’d want to rerasie to get him all-in, but you might want to wait to see the flop, because once you do get him all in, he gets to play the hand all the way to the river for free.  If he gets a terrible flop, he might change his mind about going all-in and save his last $ 4 when you bet on the flop.
I learned this lesson the hard way-twice.  I had A♥ A♠ in the pocket, got my sole opponent all-in before the flop, and flopped A♣ K♦ Q♠.  If I had left him checks to play with, he would have thrown the hand away when I bet on the flop, because all the he had was 2♥ 2♣ and he was certain I had flopped a set of Aces, Kings or Queens, or Aces-up. Since he was all-in and couldn’t fold his pair of deuces, he won the pot when the turn was the 2 ♦ and the river was the 2 ♠ , for four of a kind.
The other time I had A ♠ A ♣ in the pocket and got my only opponent all-in.  the flop was A ♥ 7♦ 5♦.  If he had any money at all and had to call a bet, he would have thrown his hand away on the flop.  But instead, he got to see the Q♣  and the J♠ come on the turn and river for free and it fit in perfectly with his K♥ T♣ to make the nut straight.  Both of these lessons were expensive, since I was playing $ 20-$ 40 limit both times.

  1. Avoid a Side Pot

You should usually not try to create a side pot if you think you might not have the first or second best hand in the advanced stud poker .  The first and second best hands will win the main pot and the side pot and if that’s not you then you’re just wasting your money.  If you create a side pot when you didn’t have to, and then you miss your hand, you’ll usually have to bluff at the side pot and if you win that, you’ll still have to show your hand to the guy who went all-in for the main pot.  Remember, since he probably chose to go all-in on this hand, he probably has a better hand than average himself.

  1. You will Win More Hands than Average

When you do choose to go all-in, typically, you will have chosen a better hand than average to play and, more importantly, you will get to play the hand all the way to the end without having to fold.  An excellent example would be if you had T♥ T♣ in the pocket and the flop was J♣ 6♦ 5♣ and there was a bet and two raises.  You would certainly throw away your hand because there are so many reasonable hands that could beat you, given the bet and two raises.  They are any pair in the pocket higher than Jacks, A ♣ J♦ , K♥ J♠ , Q♦ J♦ , 6♣ 6♠  and 5♥ 5♠.  You’ll get another Ten by the river one out of nine times and win a pot that you never would have played if you had to play.

  1. Protect Your Bankroll

Choosing to go all-in is a critical decision if you must win the hand to stay in the game.  Protect your bankroll, no matter how small it is.  Don’t play a hand just for the sake of getting rid of your last $ 8 or $ 10, or whatever you have left.  Just $ 5, when played judiciously, can rapidly put you back in the game if you win.  If you go all-in with $ 5 against four other players and win, you will have $ 25 to play with.  If you go all-in with that $ 25 against four players and win, you’ll have $ 125.

  This of course does not take into account the effect of the rake, jackpot drop, and dealer tokes, or the size of the pots you win, but you get the idea.  Choose your all-in hands with care because it means the difference between poker winning and losing this playing session.  Try to keep enough money on the table so you don’t have to go all-in, if possible.

If You Can’t Win this Hand
  Often you will have doubts about a Hold’em hand as it progresses from the flop and into the turn and river, and it becomes apparent that you won’t win the hand you’re playing.  All is not lost, however.  Depending upon your position, the number of players left in the hand, who the players are, and what the flop is, you can sometimes, but not that often, influence the outcome of the hand.

  An ideal situation would be if you were to see the turn card with two other players, one a drinking player who plays badly, and the other an older, conservative player who doesn’t take chances.  The turn card comes and you’re sure you can’t win the hand.  When the loose player bets, you raise, even though your hand doesn’t warrant it.  This makes the tight player call two big bets on the turn and in all probability, he’ll much his cards unless he has a really great hand.  The bad player then wins the hand betting on the river.
  The reason this helps you is that you can get that money back from the bad player.  The tight player who wins a big pot is more likely to hold on to the money and not lose it back nearly as fast as any other player at the table (beside yourself, of course). 
  If you must lose a hand, you should not mind losing to any one of the players that you would like to play against (mentioned earlier).  When you lose a pot to a player who is not as good a player as you are, you should consider that or a week, but your superior play will get that money back in the long run.
  In addition to this list of players, the three types of players that you shouldn’t mind losing a pot to once in a while are:

  1. Players Who Have Just Been Seated

You shouldn’t mind losing to players that have not played for long.  Most players stay for quite a while when they decide to take a seat in a poker game and a player who wins a big for you to have a chance to win it back,  It’s rare that a player will sit down in a Hold’em game, win a big pot and immediately leave the game.  You’ll have plenty of opportunities to get that money back.

  1. The Worst Player in the Game

The reason is obvious but sometimes it takes longer to get your money back because the worst player will play nearly every hand against you.  You’ll have to have the best hand at the showdown nearly every time and if that’s the only way you can win, it will take a little longer.

  1. The Player on Your Right

You would rather lose a pot to the player on your right than the one on your left.  Since the player on your right will have acted on his hand before you do, you’ll almost always have position on him.  The money on the table tends to move clockwise in Hold’em because of position, and the idea is for his money to move clockwise into your stack.

If possible, you should sit to the left of bad players, players who play too many hands, players who have a lot of money in front of them, and players who bet more often than their hands warrant.  And if you can find a player who has more than one of these qualities, then so much the better for you.

To Play or Not to Play a Hand?
  How do you, after looking at your two pocket cards, decide whether or not to play the hand?  What makes you call the blind and raises, and what makes you throw the hand away?  Here’s how I look at the question.

  Assume you are playing in your usual hold’em game.  That’s easy to imagine.  I’m going to ask you to imagine a lot more after this, so pay close attention.  Assume that you are in your typical game with your typical number of players, with the usual stakes that you have been dealt Q♣ 9♥.  If you don’t like Q♣ 9♥ as your hand, then feel free to mentally substitute any other hand that you like for this example.  It doesn’t matter.
  In fact, this exercise is meant for every two-card  combination, because you will be dealt every two-card combination in the long run.
  After the flop, assume that you play the hand as you see fit.  You can throw the hand away, you can call, or raise, or do anything you want.  Now comes the tricks part.  Assume now that you will get this same hand death to you for the next one million hands.  Assume that this is the only Hold’em hand that you’ll never be dealt for the rest of your life (I hope you picked a good one).  You’ll get the hand in every position under all the usual game conditions.  Every time you get Q♣ 9♥ (or whatever hand you’ve chosen), you do not remember what the hand was after it’s over, and neither does anyone else.  And you’re going to do this for one million consecutive hands.

  Now, assuming all of this, which I admit is a lot, the question is: After playing this hand for one million consecutive hands under all circumstances, are you winning or losing?  One million hands is long enough for winning and losing streaks to run their course and for everything statistical to average out in the long run.  The answer to the question, “Am I winning or losing”? is also the answer to the question, “Do I play this hand or not “? Simple, isn’t it?
  Any hand that wins money in the long run is said to have a positive expectation.  Any hand that loses money in the long run is said to have a negative expectation.   A hand that neither wins nor loses in the long run is said to have a zero expectation.   You normally don’t want to play hands that have a negative expectation, with the exception of changing up your play for deception or advertising purposes, which will be covered later.
  Knowing your expectation of winning will help you decide how to play difficult hands in different situations and positions, and will guide you in your play on the flop, turn and river.  This reasoning, combined with an understanding of Pot odds and drawing odds, will enable you to make sound decisions based on logic.  Most of the decisions that you will make in a low limit Hold’em game will be based on your knowledge of mathematics, probability, tells and pot odds.

Expectation Principles
  Every hand of poker that you play will have either a positive, negative or zero expectation, depending on the odds you are getting in the hand.  What that means is that you’re not guaranteed to win any hand in particular, but if you play the hand over and over, you will either win or lose with it, and your expectation per hand is your win or loss divided by the number of times you played the hand.
  For example, if you played the Q♣ 9♥ mentioned on the previous page one million times and found that you had won exactly one million times and found that you had won exactly one million dollars, then your expectation would be a positive $ 1 per hand.  I’ll explain each type of expectation in detail, beginning with zero expectation.
  Zero expectation is when the pot odds are exactly the same as the drawing odds.  I’ll start with simple examples and gradually move towards showing you how this applies to poker.  I’ll start by offering you a proposition bet.  You and I are going to flip a fair coin one million times and every time it comes up heads, I will pay you $ 1, and every time it comes up tails, you pay me $ 1.

  At the end of our one million trials, how do you think we will stand, money-wise?  The fact is that since a fair coin is as likely to come up heads as tails, you could expect the coin to come up heads approximately 500,000 times and it would come up approximately 500,000 times.  We would be even.
  Now, using a deck of cards and about 50 poker chips, we are going to perform the following exercises.  Divide the bluff poker Chips into two equal stacks one on your left representing red, and the other on your right representing black.  You’re going to bet one chip in the middle from each stack and turn the top card.  It it’s a red card, award the two-chip pot to the red stack on your left.  If it’s a black card, then award the pot to the black stack on your right.
  Now put a chip from each stack in the pot and turn the second card in the deck.  Award the pot to the winner and repeat this procedure with all of the remaining deck, until the deck is gone.  As you might have suspected by now, each player has exactly as many chips as he started out with.  That’s because it is equally likely that, in the absence of any other information, the top card off any deck of cards is as likely to be red as black.

 

Now let’s get a little more complicated.
  Divide your chips into four equal stacks, playing one for yourself and the other three for three imaginary opponents.  The names of your imaginary opponents are♣ ,♦ and ♥ .  Your name is♠.  Now all four of  your are going to bet that the top card off the deck will be a ♠.
  If you have the idea by now, then you know that the odds of any card being a ♠ are one out of four, or 3 to 1.  And that’s what we have set up here; three players against one.  Put a chip from each player in the pot and turn the top card off the deck.  If it’s a♠, then you win the pot, it’s a♣, then the♣ player wins the pot and son on.  Repeat this until the deck is gone.  Now who has how many chips?  Every player will have exactly as many as he started out with.  You are making a bet where the odds of winning is 3 to 1 and that is exact odds you are being paid.  Your expectation in the long run is zero.

  Now we will look at negative expectation.  Divide the poker chips into three equal stacks instead of four.  Your are playing against two other players instead of three.  This means that you are now getting 2 to 1 on you bets instead of 3 to 1.  perform the above exercise again and award the pots to the♣ and♦ players until all of the cards in the deck are used up.  When over the♥player win, you can divide his pot in two and give it to the two other players since he is not in the game.  Of course, you still win the♠ pots.
  Now what happened?  Since there are still thirteen♠ s in the deck and you won thirteen hands just as you did in the zero expectation exercise, your chances of winning obviously did not change.

  What changed was the odds you were being paid to draw to your hand.  This is why, when you are drawing to a poker hand that has a 3 to 1 chance of being completed, you need to be assured that the pot is offering you odds of at least 3 to 1 when you do make the hand.
  Let’s look at an example of negative expectation as it happens in an actual Hold’em game.  Give yourself 5♠ 2♠, and put A♠ K♠ J♦ up as the flop and the T♥ as the turn card.  Divide your chips into two equal stacks and give your sole opponent Q♦ 9♥ in the pocket.  He already has the nut straight on the turn and clearly your only out is to make your ♠ flush.  Here goes.  Put one chip in the pot from each stack and turn the top card on the deck.  Award the pot winner and keep repeating this until all the cards in the deck have been used. 
  What happened?
  You beat his straight nine times with a flush.  You made the hand you were hoping to make, and yet you still lost money.  The pot odds were obviously not correct for you to draw to a flush.
  The real-life practical lesson you should learn from this is: Don’t draw to a flush head-up if making the flush is your only out.  As you have just proven to yourself, it’s a losing proposition, even though you will make the flush nine out of forty-four times.
  Sticking with the same example, since we are so familiar with it, let’s take a look at how positive expectation works.  Recognizing positive expectation situations and betting opportunities is the backbone of being a winning poker player, regardless of the specific type of poker you are playing.

  This time divide your chips into two stacks, one with ten chips and the other with all the other chips you have.  The ten-chip stack is yours and the other stack represents the six other players in the hand with you.  Set up your flush draw as in the above paragraph.  Put one chip in the pot from your stack and put six chips in the pot from the other stack, since there are six opponents playing against you.  You can divide your opponent’s stack into six smaller stacks if it helps you see the example more clearly, but it makes no difference.
  Now play the deck all the way down again and you’ll see that your stack of chips will steadily grow larger and larger.  This is because you are being paid better than 3 to 1 on a  3 to 1 draw.  In fact, you’re being paid 6 to 1 and now your draw to the flush has a positive expectation.
  This also illustrates why it is usually correct to raise when you are on a draw to a hand and are getting Pot basic odds that are much better than the drawing odds.  To see this, try the exercise again using two and twelve chips instead of one and six.  You win twice as many chips when the flush is made, but you lose only one extra chip when you miss.  When you do raise in this situation you have to be reasonably sure that you’ll win the hand if you do make your draw.  The money in the pot that you win in this situation has to be enough to make up for the times that you miss the hand completely and the times that you make the hand but still lose the pot.
  You should always have an idea of how much money is in the pot at all times if you are in the hand.  get in the habit of keeping a cumulative total of the pot in your mind as bets are being made.  Most of the decisions you will make in this game are automatic and it will not affect the quality of your play to mentally keep a side count of the pot size.  I have found that it is easier to count the number of bets in the pot rather than the actual amount of money.

  This is what I do: Before the flop and on the flop I mentally count, “One, Two, three, four,” etc., as each bet goes into the pot.  A raise counts as two bets, because that’s what it is.  I continue the count on the flop. After all the betting is complete on the flop and the turn card is about to be turned, I divide my running count in half, since the bets double on the turn.  This way I always know how many bets are in the pot when I have to do mental division to divide my bets into the pot size to get the pot poker basic odds