There is only one guarantee in this world

Made with Passion

# Poker

## It is great that we live in a time, where it is so easy to play poker

## from home.

From time to time, I play a tournament of Poker either online or in the casino. Since I
feel more comfortable playing no rebuys tournaments, i have some experience in
those games. During the past years I always belonged to the group “ 90% losers “, and
believe it or not, that is fine for me. I would love to win a tournament, but so far mt
best achievement is a sixt place, only two seats from the money. It is great that these
tournamnets can fill an entire night out.
## Calculate Odds

Since i have some mathematical knowledege ,there is a tool i could use to improve my
changes: PokerOddsCalculating. On the interweb i found an explanation, which even
for myself is clear. ( source: Pokerology.com )
Odds can be expressed both “for” and “against”. Let’s use a poker example to
illustrate. The odds against hitting a flush when you hold four suited cards with one
card to come is expressed as approximately 4-to-1. This is a ratio, not a fraction. It
doesn’t mean “a quarter”. To figure the odds for this event simply add 4 and 1
together, which makes 5. So in this example you would expect to hit your flush 1 out
of every 5 times. In percentage terms this would be expressed as 20% (100 / 5).
Here are some examples:
2-to-1 against = 1 out of every 3 times = 33.3%
3-to-1 against = 1 out of every 4 times = 25%
4-to-1 against = 1 out of every 5 times= 20%
5-to-1 against = 1 out of every 6 times = 16.6%
Converting odds into a percentage:
3-to-1 odds: 3 + 1 = 4. Then 100 / 4 = 25%
4-to-1 odds: 4 + 1 = 5. Then 100 / 5 = 20%
Converting a percentage into odds:
25%: 100 / 25 = 4. Then 4 – 1 = 3, giving 3-to-1 odds.
20%: 100 / 20 = 5. Then 5 – 1 = 4, giving 4-to-1 odds.
Another method of converting percentage into odds is to divide the percentage chance
when you don’t hit by the percentage when you do hit. For example, with a 20%
chance of hitting (such as in a flush draw) we would do the following; 80% / 20% = 4,
thus 4-to-1. Here are some other examples:
25% chance = 75 / 25 = 3 (thus, 3-to-1 odds).
30% chance = 70 / 30 = 2.33 (thus, 2.33-to-1 odds).
Some people are more comfortable working with percentages rather than odds, and
vice versa. What’s most important is that you fully understand how odds work,
because now we’re going to apply this knowledge of odds to the game of poker.
Counting Your Outs
Before you can begin to calculate your poker odds you need to know your “outs”. An
out is a card which will make your hand. For example, if you are on a flush draw with
four hearts in your hand, then there will be nine hearts (outs) remaining in the deck
to give you a flush. Remember there are thirteen cards in a suit, so this is easily
worked out; 13 – 4 = 9.
Another example would be if you hold a hand like 7c6c and hit two pair on the flop of
6s7dah. You might already have the best hand, but there’s room for improvement and
you have four ways of making a full house. Any of the following cards will help
improve your hand to a full house; 7s7h6h6d.
The following table provides a short list of some common outs for post-flop play. I
recommend you commit these outs to memory:
Table #1 – Outs to Improve Your Hand
Chart showing odds of improving your hand
The next table provides a list of even more types of draws and give examples,
including the specific outs needed to make your hand. Take a moment to study these
examples:
Table #2 – Examples of Drawing Hands
Counting outs is a fairly straightforward process. You simply count the number of
unknown cards that will improve your hand, right? Wait… there are one or two things
you need to consider:
Don’t Count Outs Twice
There are 15 outs when you have both a straight and flush draw. You might be
wondering why it’s 15 outs and not 17 outs, since there are 8 outs to make a straight
and 9 outs for a flush (and 8 + 9 = 17). The reason is simple… in our example from
table #2 the ah and the 9h will make a flush and also complete a straight. These outs
cannot be counted twice, so our total outs for this type of draw is 15 and not 17.
Anti-Outs and Blockers
There are outs that will improve your hand but won’t help you win. For example,
suppose you hold 5c4d on a flop of 63sqh. You’re drawing to a straight and any two or
any seven will help you make it. However, the flop also contains two hearts, so if you
hit the 2h or the 7h you will have a straight, but could be losing to a flush. So from 8
possible outs you really only have 6 good outs.
It’s generally better to err on the side of caution when assessing your possible outs.
Don’t fall into the trap of assuming that all your outs will help you. Some won’t, and
they should be discounted from the equation. There are good outs, no-so good outs,
and anti-outs. Keep this in mind.
Calculating Your Poker Odds
Once you know how many outs you’ve got (remember to only include “good outs”), it’s
time to calculate your odds. There are many ways to figure the actual odds of hitting
these outs, and we’ll explain three methods. This first one does not require math, just
use the handy chart below:
Table #3 – Poker Odds Chart
Table of poker odds and outs
As you can see in the above table, if you’re holding a flush draw after the flop (9 outs)
you have a 19.1% chance of hitting it on the turn or expressed in odds, you’re 4.22-to-
1 against. The odds are slightly better from the turn to the river, and much better
when you have both cards still to come. Indeed, with both the turn and river you have
a 35% chance of making your flush, or 1.86-to-1.
PDF chart for poker drawing oddsWe have created a printable version of the poker
drawing odds chart which will load as a PDF document (in a new window). You’ll need
to have Adobe Acrobat on your computer to be able to view the PDF, but this is
installed on most computers by default. We recommend you print the chart and use it
as a source of reference. It should come in very handy.
Doing the Math – Crunching Numbers
There are a couple of ways to do the math. One is complete and totally accurate and
the other, a short cut which is close enough.
Let’s again use a flush draw as an example. The odds against hitting your flush from
the flop to the river is 1.86-to-1. How do we get to this number? Let’s take a look…
With 9 hearts remaining there would be 36 combinations of getting 2 hearts and
making your flush with 5 hearts. This is calculated as follows:
(9 x 8 / 2 x 1) = (72 / 2) ≈ 36.
This is the probability of 2 running hearts when you only need 1 but this has to be
figured. Of the 47 unknown remaining cards, 38 of them can combine with any of the
9 remaining hearts:
9 x 38 ≈ 342.
Now we know there are 342 combinations of any non heart/heart combination. So we
then add the two combinations that can make you your flush:
36 + 342 ≈ 380.
The total number of turn and river combos is 1081 which is calculated as follows:
(47 x 46 / 2 x 1) = (2162 / 2) ≈ 1081.
Now you take the 380 possible ways to make it and divide by the 1081 total possible
outcomes:
380 / 1081 = 35.18518%
This number can be rounded to .352 or just .35 in decimal terms. You divide .35 into
its reciprocal of .65:
0.65 / 0.35 = 1.8571428
And voila, this is how we reach 1.86. If that made you dizzy, here is the short hand
method because you do not need to know it to 7 decimal points.
The Rule of Four and Two
A much easier way of calculating poker odds is the 4 and 2 method, which states you
multiply your outs by 4 when you have both the turn and river to come – and with one
card to go (i.e. turn to river) you would multiply your outs by 2 instead of 4.
Imagine a player goes all-in and by calling you’re guaranteed to see both the turn and
river cards. If you have nine outs then it’s just a case of 9 x 4 = 36. It doesn’t match
the exact odds given in the chart, but it’s accurate enough.
What about with just one card to come? Well, it’s even easier. Using our flush
example, nine outs would equal 18% (9 x 2). For a straight draw, simply count the outs
and multiply by two, so that’s 16% (8 x 2) – which is almost 17%. Again, it’s close
enough and easy to do – you really don’t have to be a math genius.
Conclusion
In this lesson we’ve covered a lot of ground. We haven’t mentioned the topic of pot
odds yet – which is when we calculate whether or not it’s correct to call a bet based
on the odds. This lesson was step one of the process, and in our pot odds lesson we’ll
give some examples of how the knowledge of poker odds is applied to making crucial
decisions at the poker table.
As for calculating your odds…. have faith in the tables, they are accurate and the
math is correct. Memorize some of the common draws, such as knowing that a flush
draw is 4-to-1 against or 20%. The reason this is easier is that it requires less work
when calculating the pot odds, which we’ll get to in the next lesson.