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Lesson: 2
A Way To Approximate The Odds
Clonie Gowen
March 21, 2005
It is very difficult to calculate the exact odds of hitting a drawing
hand when you're sitting at the poker table. Unless you're a genius
with a gift for mathematics like Chris Ferguson, you will not be
able to do it. That leaves two options for the rest of us: The first
option is to sit at home with a calculator, figure out the odds
for every possible combination of draws, and then memorize them.
That way, no matter what situation comes up, you always know the
odds. But for those of us without a perfect memory, there's an easier
way. Here is a simple trick for estimating those odds.
The first thing you need to do is to figure out how many "outs"
you have. An "out" is any card that gives you a made hand.
To do this, simply count the number of cards available that give
the hand you are drawing to. For example: suppose you hold Ac 8c
and the flop comes Qh 9c 4c. You have a flush draw. There are thirteen
clubs in the deck and you are looking at four of them -- the two
in your hand, and the two on the board. That leaves nine clubs left
in the deck, and two chances to hit one.
The trick to figuring out the approximate percentage chance of
hitting the flush is to multiply your outs times the number of chances
to hit it. In this case that would be nine outs multiplied by two
chances, or eighteen. Then take that number, multiply times two,
and add a percentage sign. The approximate percentage of the time
you will make the flush is 36%. (The exact percentage is 34.97%.)
Now let's say that on that same flop you hold the Jd Th. In this
case you would have an open ended straight draw with eight outs
to hit the straight (four kings and four eights). Eight outs with
two cards to come gives you sixteen outs. Multiply times two and
you will hit the straight approximately 32% (31.46% exactly) of
the time.
One important thing to keep in mind is that the percentage stated
is merely the percentage of the time that you will hit the hand
you are drawing to, NOT the percentage of time that you will win
the pot. You may hit your hand and still lose. In the first example,
the Qc will pair the board and may give somearticle a full house.
In the second example both the Kc and the 8c will put a possible
flush on the board, giving you the straight, but not necessarily
the winning hand. Still, knowing the approximate likelihood of making
your hand is a good beginning step on the road to better poker.
Clonie Gowen
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