Poker Wisdom of the Day- �If you don't think your hand
is good enough, it probably isn't�

Nelayan, here is:
An Explanation of Hold 'Em Odds - Part 1 of 4

Probability is a huge factor in texas hold 'em. Players
use odds to determine their actions. The chances of
finishing a flush or a straight, the probablity of
getting an overcard, the percentage of times you're
going to flop a set to match your pocket pair are all
important factors in poker. Knowledge of these
statistics is key to winning. In online games especially
with very few (if any) tells, statistical knowledge
becomes the main factor when choosing whether to bet,
call, or fold. 

Here are some terms that you'll hear on this site and
whenever you're talking about poker odds...

Outs -
The number of cards left in the deck that will
improve your hand. "I had four hearts on the turn,
so I had only 9 outs left to finish that flush." 
 
Pot Odds -
The odds you get when analyzing the current size of
the pot vs. your next call. "There's $200 already in
the pot, and only another $10 bet coming at me, so my
pot odds are good if I hit that flush."
 
Bet Odds -
The odds you get as a result of evaluating the number
of callers to a raise. "With a 1 in 5 chance of hitting
it, and knowing all six of these guys are gonna call
my bet, my bet odds are good too."
 
Implied Odds -
The odds you are getting after the assumed result of
betting for the remainder of the hand. "Since I think
these guys are going to call on the turn and river,
my implied odds are excellent." 

In Texas Hold 'Em, you commonly use outs and pot odds
the most. This is also the starting point for those who
want to learn about poker odds. To those out there who
"ain't good at countin' much", you better get good
because that is how it's done. At this point it's only
simple division The numerator will be the number of
outs you have. The denominator is the number of cards
left that we haven't seen. The result will be the
percentage chance of making one of those outs. Therefore,
the most math you'll be doing will be dividing small
numbers by 50 (pre-flop), 47 (after the flop), or 46
(after the turn). Click here for a series of examples
on this.

Before we move on, I must clarify one thing. A lot of
you might wonder why we never factor the opponents'
cards or the burn cards when figuring out how many
cards are left. The reason is that we only consider
"unseen cards". If you saw what the burn cards were,
or an opponent showed you his hand, you would know that
those cards are not going to be drawn and could use
that. We typically do not know what they have, so we
don't even think about it when talking about odds. For
instance, take a standard deck of 52 cards, remove 2
Aces and burn 25 of them. If you drew the next card,
what are the chances of it being an Ace? It would be
2/50 (2 Aces left out of 50 unseen cards). It would
NOT be 2/25 just because you burned half the deck.
Okay, do the same thing again, but this time you get
to look at the burn cards. Let's say that of all the
cards you burned, none were an ace. Now your odds are
2/25 because there are still 2 Aces and now only 25
"unseen cards".

By that same reasoning, let's play a game of draw poker
where you get 5 cards as usual, but your opponent gets
40. Say you got Ace, King, Queen, Jack all of Spades!,
and a Four of Clubs. You get to ditch the Four and draw
one from the remaining pile of 7 cards. What are your
chances of getting that Ten of Spades? Assuming you
don't get to see your opponents hand, your chances of
drawing that card would be 1 in 47 (1 Ten of Spades
in the deck, 47 "unseen cards"). It would NOT be 1
in 7. Let's say your opponent goes to the bathroom,
and you cheat and look at his hand while he's on the
crapper. If he doesn't have that Ten of Spades, that
would be 1 in 7. If he did, well...it'd be 0 in 7.

Pot odds are as easy as computing outs. You compare
your outs or your chance of winning to the size of
the pot. If your chance of winning is significantly
better than the ratio of the pot size to a bet, then
you have good pot odds. If it's lower, then you have
bad pot odds. For example, say you are in a $5/$10
holdem game with Jack-Ten facing one opponent on the
turn. You have an outside straight draw with a board
of 2-5-9-Q, and only the river card left to make it.
Any 8 or any King will finish this straight for you,
so you have 8 outs (four 8's and 4 K's left in the
deck) and 46 unseen cards left. 8/46 is almost the
same as a 1 in 6 chance of making it. Your sole
opponent bets $10. You if you take a $10 bet you
could win $200. $200/$10 is 20, so you stand to
make 20x more if you call. 1/6 higher than 1/20,
so pot odds say that calling wouldn't be a bad idea.

Another clarification...a lot of players want to
somehow factor in money they wagered on previous
rounds. With the last example, you probably had
already invested a significant portion of that
$200 pot. Let's say $50. Does that mean you should
play or fold because of that money you already have
in there? $50/$200? That's a big no. That's not your
money anymore! It's in a pool of money to be given
to the winner. You have no "stake" in that pot. The
only stake you might have is totally mental and has
no bearing on hard statistics.

The next step is to use bet odds and implied odds.
That's tougher, because it involves predicting
reactions of other players. With bet odds, you try
to factor in how many people are going to call a
raise. With implied odds, you're thinking about
reactions for the rest of the game. One last example
on implied odds...

Say it's another $5/$10 holdem game and you have a
four flush on the flop. Your neighbor bets, and
everyone else folds. The pot is $50 at this point.
First you figure out your chance of hitting your
flush on the turn, and it comes out to about 19.1%
(about 1 in 5). You have to call this $5 bet vs a
$50 pot, so that's a 10x payout. 1/5 is higher than
1/10, so bet odds are okay, but you must consider
that this guy's going to bet into you on the turn
and river also. That's the $5 plus two more $10
bets. So now your facing $25 more till the end
of the hand. So you have to consider your chances
of hitting that flush on the turn or river, which
makes it about 35% (better than 1 in 3 now), but
you have to invest $25 for a finishing pot of $100.
$100/$25 is 1 in 4. That's pretty close. But there's
more!...if you don't make it on the turn, it'll
change your outs and odds! You'll have a 19.6%
chance of hitting the flush (little worse than
1 in 5), but a $20 investment for a finishing
pot of $100! $100/$20 is 1 in 5. So the chances
would take a nasty turn if you didn't hit it!
What's makes it more complicated is that if you
did hit it on the turn, you could raise him back,
and get an extra $20 or maybe even $40 in the pot.

I'll let it go at that, as once you've mastered
simple outs and pot odds, bet and implied odds
are just a longer extension of these equations.
If you sit and think about these things while
you play, it'll come to you eventually without
any tutoring. Good luck!

Nelayan,
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To your success,

May all your Pots be Monsters!

Dan
mailto:[EMAIL PROTECTED]
















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