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Poker Expected Value

A successful Texas hold em player is one whocall...you should raise! As we've seen in the
maximizes his return or minimizes his lossPoker Odds section, you have about a 35
with each decision he makes. Expected valuepercent chance of hitting your flush. You
(EV) is essentially the amount one wouldwill not win each time you hit it...perhaps
expect to win or lose if this decision weresomeone has flopped a set or two pair and
to be repeated millions of times. (rememerwill hit a full house, etc. You may even
your precalculus "limit as n goes tooccasionally win if you spike an Ace. Anyway,
infinity"???  didn't  think  so!)it is pretty clear that your odds of winning
the hand are better than 25 percent, and with
Every poker decision, whether it be to bet,3 players in the pot ahead of you, you want
raise, check/call, check/fold, check/raiseto get more money in the pot while you have
has an expectation of success or failure.an advantage from an expected value
Those that will lose you money in the longstandpoint. Now, there are other factors that
run are said to have negative expected valuewill enter your head and should be taken into
(-EV). Folding always has an expected valueaccount. If the original bettor reraises you
of zero. You will never gain or lose money byand the other two fold, you've now put 2
folding. Folding, though it has an EV ofdollars in and gotten the others to put 6 in.
zero, may often be your best decision from anNow we may or may not be in positive EV
EV  perspective.territory, depending on what our opponent
has. Also, we must consider the fact that our
Let's look at a few examples. Expected valueraise may have bought us a free card or may
is not always easily calculable, even inhave gotten someone with an Ace and a better
limit texas holdem, but every time you playkicker or paired side card to fold. As you
you should try to analyze your decisionmakingcan see, there are many factors influencing
with EV in your mind. For instance, you'rethe expected value of our decisions. We may
playing 1/2 and in the small blind with 84onot always be sure we've made the correct
on a flop of K96 rainbow. The small blindpoker play, but it's extremely important that
checks and only you and a tight player areour  thinking process runs along these lines.
left. There is three dollars in the pot.
Should you bet? You are risking one dollar.Even preflop you must think along expected
Betting has a positive expectation if you canvalue lines. You may be holding AJs in the
expect the other two to fold more than one insmall blind. Six players, most of them very
four times. If you try it four times and itloose, limp before you. A raise is in order.
succeeds once, you win a three dollar pot andThink in terms of expected value or pot
lose your one dollar bet the three otherequity. Your hand figures to win more than
times, making it a 0 EV play. (We'reone in every seven times against the starting
discounting the chance that you are calledhands held by the others, so a raise is in
and catch runner runner or win in some otherorder. Again, evaluate each decision on its
very unlikely way) Remember, we analyze eachown merits. If you miss the flop in this
decision on its own Expected Value merits. Ifinstance, checking and folding may be your
you are called and catch an 8 on the turn,best option from an expectation standpoint.
you must again analyze your decisions basedOr, it may not...you may have an overcard,
on their likelihood of success or failure ingutshot and back door flush draw...again, do
the long run. Poker, and Texas Holdem inthe math in your head and arrive at the
particular, is a game of short termcorrect  decision.
variations, but you must continue to make the
correct EV decisions and you will be a winnerFinally, remember this...in general, a bet
in  the  long  term.has a higher expectation than a check/call.
You will sometimes win by forcing people to
Another example: You are holding A8 offold. Now, there are times when this is not
spades, again playing 1/2. There are 3correct due to the threat of a raise (if
limpers ahead of you and one behind you. Theyou're planning on calling), but always bear
flop comes K96 with two spades. The firstit in mind. In Texas Holdem, aggressive poker
player bets and the other two in front of youis winning poker.



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