Poker Expected Value

A successful Texas hold em player is one whowe've seen in the Poker Odds section, you have
maximizes his return or minimizes his loss withabout a 35 percent chance of hitting your flush.
each decision he makes. Expected value (EV) isYou will not win each time you hit it...perhaps
essentially the amount one would expect to winsomeone has flopped a set or two pair and will hit
or lose if this decision were to be repeated millionsa full house, etc. You may even occasionally win if
of times. (rememer your precalculus "limit as nyou spike an Ace. Anyway, it is pretty clear that
goes to infinity"??? didn't think so!)your odds of winning the hand are better than 25
Every poker decision, whether it be to bet, raise,percent, and with 3 players in the pot ahead of
check/call, check/fold, check/raise has anyou, you want to get more money in the pot
expectation of success or failure. Those that willwhile you have an advantage from an expected
lose you money in the long run are said to havevalue standpoint. Now, there are other factors
negative expected value (-EV). Folding always hasthat will enter your head and should be taken into
an expected value of zero. You will never gain oraccount. If the original bettor reraises you and the
lose money by folding. Folding, though it has an EVother two fold, you've now put 2 dollars in and
of zero, may often be your best decision fromgotten the others to put 6 in. Now we may or
an EV perspective.may not be in positive EV territory, depending on
Let's look at a few examples. Expected value iswhat our opponent has. Also, we must consider
not always easily calculable, even in limit texasthe fact that our raise may have bought us a
holdem, but every time you play you should tryfree card or may have gotten someone with an
to analyze your decisionmaking with EV in yourAce and a better kicker or paired side card to
mind. For instance, you're playing 1/2 and in thefold. As you can see, there are many factors
small blind with 84o on a flop of K96 rainbow. Theinfluencing the expected value of our decisions.
small blind checks and only you and a tight playerWe may not always be sure we've made the
are left. There is three dollars in the pot. Shouldcorrect poker play, but it's extremely important
you bet? You are risking one dollar. Betting has athat our thinking process runs along these lines.
positive expectation if you can expect the otherEven preflop you must think along expected value
two to fold more than one in four times. If youlines. You may be holding AJs in the small blind. Six
try it four times and it succeeds once, you win aplayers, most of them very loose, limp before
three dollar pot and lose your one dollar bet theyou. A raise is in order. Think in terms of
three other times, making it a 0 EV play. (We'reexpected value or pot equity. Your hand figures
discounting the chance that you are called andto win more than one in every seven times
catch runner runner or win in some other veryagainst the starting hands held by the others, so
unlikely way) Remember, we analyze eacha raise is in order. Again, evaluate each decision on
decision on its own Expected Value merits. If youits own merits. If you miss the flop in this
are called and catch an 8 on the turn, you mustinstance, checking and folding may be your best
again analyze your decisions based on theiroption from an expectation standpoint. Or, it may
likelihood of success or failure in the long run.not...you may have an overcard, gutshot and back
Poker, and Texas Holdem in particular, is a gamedoor flush draw...again, do the math in your head
of short term variations, but you must continueand arrive at the correct decision.
to make the correct EV decisions and you will beFinally, remember this...in general, a bet has a
a winner in the long term.higher expectation than a check/call. You will
Another example: You are holding A8 of spades,sometimes win by forcing people to fold. Now,
again playing 1/2. There are 3 limpers ahead ofthere are times when this is not correct due to
you and one behind you. The flop comes K96the threat of a raise (if you're planning on calling),
with two spades. The first player bets and thebut always bear it in mind. In Texas Holdem,
other two in front of you call...you should raise! Asaggressive poker is winning poker.