Poker Outs
In a poker game with more than one betting round, an out is any unseen card that, if drawn, will improve a player's hand to one that is likely to win. Knowing the number of outs a player has is an important part of poker strategy. For example, in draw poker, a hand with four diamonds has nine outs to make a flush: there are 13 diamonds in the deck, and four of them have been seen. If a player has two small pairs, and he believes that it will be necessary for him to make a full house to win, then he has four outs: the two remaining cards of each rank that he holds.
'Outs' in poker refers to the cards that are left in the deck that can better a poker hand. For example, if you had A-K for hole cards and the flop was 7-10-J, then any queen would be an 'out' to a straight.
- 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.
- Basic Odds and Outs If you ever wanted to know some of the odds and probabilities of Texas hold'em poker, from the chances of flopping a flush (0.8%) or set (12%) to the odds of an overcard coming.
One's number of outs is often used to describe a drawing hand: 'I had a two-outer' meaning you had a hand that only two cards in the deck could improve to a winner, for example. In draw poker, one also hears the terms '12-way' or '16-way' straight draw for hands such as 6♥ 7♥8♠ (Joker), in which any of sixteen cards (4 fours, 4 fives, 4 nines, 4 tens) can fill a straight.
The number of outs can be converted to the probability of making the hand on the next card by dividing the number of outs by the number of unseen cards. For example, say a Texas Holdem player holds two spades, and two more appear in the flop. He has seen five cards (regardless of the number of players, as there are no upcards in Holdem except the board), of which four are spades. He thus has 9 outs for a flush out of 47 cards yet to be drawn, giving him a 9/47 chance to fill his flush on the turn. If he fails on the turn, he then has a 9/46 chance to fill on the river. Calculating the combined odds of filling on either the turn or river is more complicated: it is (1 - ((38/47) * (37/46))), or about 35%. A common approximation used is to double the number of outs and add one for the percentage to hit on the next card, or to multiply outs by four for the either-of-two case. This approximation works out to within a 1% error margin for up to 14 outs.[1]
Note that the hidden cards of a player's opponents may affect the calculation of outs. For example, assume that a Texas hold 'em board looks like this after the third round: 5♠ K♦ 7♦ J♠, and that a player is holding A♦ 10♦. The player's current hand is just a high ace, which is not likely to win unimproved, so the player has a drawing hand. He has a minimum of nine outs for certain, called nut outs, because they will make his hand the best possible: those are the 2♦, 3♦, 4♦, 6♦, 8♦, 9♦, and Q♦ (which will give him an ace-high flush with no possible better hand on the board) and the Q♣ and Q♥, which will give him an ace-high straight with no higher hand possible. The 5♦ and J♦ will also make him an ace-high flush, so those are possible outs since they give him a hand that is likely to win, but they also make it possible for an opponent to have a full house (if the opponent has something like K♠ K♣, for example). Likewise, the Q♠ will fill his ace-high straight, but will also make it possible for an opponent to have a spade flush. It is possible that an opponent could have as little as something like 7♣ 9♣ (making a pair of sevens); in this case even catching any of the three remaining aces or tens will give the player a pair to beat the opponent's, so those are even more potential outs. In sum, the player has 9 guaranteed outs, and possibly as many as 18, depending on what cards he expects his opponents to have.
See also[edit]
Poker Outs Calculator
References[edit]
Did you ever wonder what is all the maths that professional poker players seem to be doing in their head? Well a lot of the time they will be counting outs to see what chance they have of winning.
Learning the basics of counting outs is another step on your journey to becoming a proficient poker player. But first what exactly are poker outs?
An out is any card that will improve your hand to better than that of your opponent. A common example is when you have four hearts in your hand and need the fifth heart to complete the flush (i.e. a flush draw) . If you count the number of hearts left in the deck (13 total minus the 4 in your hand = 9), you know how many outs you have and can work out the probabaility of winning the hand.
So counting outs is just very basic addition and multiplication.
Another simple example is when you have a flush draw such as A♥ K♥ of hearts on T♥ 7♥ 2♠ – you currently only have Ace high but any heart will give you a flush.
There are 9 hearts in total which will complete your draw however one of those hearts (2♥) may give your opponent a full house.
You can also hit an ace (A♠, A♣, A♦) or king (K♠, K♣, K♦) but these cards aren’t always guaranteed to give you the best hand. Generally speaking, you only count the outs which are sure to give you the best hand.
Table Of Contents
- Considerations and additional points when counting outs
Counting Outs: The Process
The first question you need to ask yourself when counting outs is ’How many cards in the deck will give me the hand I want? ‘
For example if you have a flush draw you will have 9 outs, if you have a gut shot you will have 4 outs, and with an opened ended straight draw you have 8 outs. A table below summarizes each draw with number of outs.
| Draw type | Example hand | Example Board | No. of outs |
|---|---|---|---|
| Three of a kind draw | 5♥ 5 ♠ | A♦ 7♣ 2♥ | 2 |
| Gutshot straight draw | 7♥ 6♥ | A♣ 5♦ 3♠ | 4 |
| Open ended straight draw | K♠ Q♣ on | J♥ T♥ 2♣ | 8 |
| Flush draw | A♥ 2♥ | T♥ 7♣ 3♥ | 9 |
| Open ended & flush draw | J♥ T♥ | 9♥ 8♥3♠ | 15 |
Now that you know how many outs you have you need to actually use that number There is no point in calculating your outs if we aren’t going to use it in our decision making process.
The easiest way to do this is using the rule of 2 and 4…
The rule of 2 and 4
This rule is pretty simple.
To work out your equity or chance of winning when seeing the turn you multiply the number of outs by 2. Thus if we have 9 outs we will multiply that by 2 to get 18% equity.
For example if we are on the turn and want to know our chance of hitting by the river this is the method we would use.
To estimate your equity or chance of winning when on the flop you multiply the number of outs by 4. Again, if we have 9 outs we will multiply that by 4 to get 36% equity. For example if we are on the flop and want to know our chance of hitting by the river.
The rule of 2 and 4 is only an estimation for our equity but it is usually accurate giving our equity to within a percentage point or two.
Part of counting your outs is understanding if you are ahead or behind (and by how much) so it is important to understand your opponent's range. For more information on ranges see thefollowing link.
When we know our equity we can make a decision whether our hand is worth continuing with.
This method is actually pretty accurate, particularly for low numbers of outs. See the table below where I compared equity for each situation using the 2 and 4 method and equilab.
| Draw type | Equity on the flop | Equity on the turn | ||
|---|---|---|---|---|
| Rule of 2&4 | Equilab | Rule of 2&4 | Equilab | |
| Three of a kind draw | 8% | 9% | 4% | 5% |
| Gutshot straight draw | 16% | 18% | 8% | 10% |
| Open ended straight draw | 32% | 30% | 16% | 19% |
| Flush draw | 36% | 33% | 18% | 18% |
| Open ended & flush draw | 60% | 60% | 30% | 39% |
The above table assumes that only the the primary draw goes towards our chances of winning. In reality, you will have slightly more equity than the rule of 2 and 4 suggests as you will often have equity from backdoor draws and overcards.
The overall process for counting outs and calculating equity
- Determine what hand you have or could potentially have. If you are not sure of the hand rankings make sure you check them out
- Count how many cards will give you that hand
- Calculate your equity using the rule of 2 and 4
- Determine if your hand is worth continuing vs a bet by weighting your equity vs pot odds.
Considerations and additional points when counting outs
Double Counting
One must always be careful not to double count outs. With a big draw such as a straight and flush draw we will have 9 outs to the flush and 8 outs to the straight. However, of the straight draw outs there will be two which also complete the flush; thus we must remove these double counted outs.
As a result we no longer have 17 outs (9 flush + 8 straight), we now have 15 outs (9 flush + 6 straight or 7 flush + 8 straight)
The Double gutter
One interesting hand type is the double gutter. A double gutter is as the name suggests a double gut shot.
An example is when you have JT on AQ8 board. Any 9 or K will make you a straight. A double gutter can sometimes be difficult to spot, even for experienced players.
However, that makes them more powerful than other draws, as when you hit your hand it is more disguised. A more disguised hand is more likely to get paid off when you hit.
The Monster Draw
Another interesting hand type is the ‘monster’ draw. These are draws with typically 12 or more outs such as a flush draw + straight draw, or a flush draw plus pair type hand.
These hands have so many outs that it almost never wrong to commit all your chips (given you have a reasonable stack size).
The most powerful of all these hand types is the open ended straight flush draw- J♥T♥ on Q♥9♥5♣.
With this hand, not only do you have a flush and a straight draw but you have two cards which are the absolute nuts – you cannot ever be beaten if you hit the K♥ or the 8♥. The importance of these 2 outs cannot be underestimated.
One issue with monster draws is that the rule and two and four begins to break down- the rule overestimates the equity. Although there will be very few situations where you will be folding a big draw.
All Outs Are Not Equal – Anti-outs
Another aspect we need to take into account is that not all outs are created equal. Outs to the nuts (the strongest hand possible) are always the most sought after type of outs; unfortunately we won’t always have outs to the nuts.
In most cases we will count our flush draw out as a normal out but it can complete a full house for our opponent.
Take for example our opponent has 77 on T♥7♥2♠: we will count the 2♥ as an out when we have a heart flush draw.
However, it will improve our opponent's hand at the same time as ours; unfortunately for us that will be to a full house which beats a flush.
We will lose a lot of money in this example.
A further example of drawing to not nutted outs is the ‘dummy’ or bottom end of the straight. When we have the bottom two cards of a four to a straight, for example 87 on T95 flop, we will be dominated by a hand such as KQ; if a jack hits we will both complete a straight but KQ will have the nut straight, beating our lower straight.
As such, drawing to the upper end of the straight is much more powerful. Although, it is not always possible to avoid drawing to the dummy end of the straight. However, take into account they are less powerful than other straight draws and hence you should be less likely to proceed with them vs betting action.
We can apply a similar thought process to overcard outs: AK on T52 board. If we hit our Ace or King on the turn we may not still have the best hand. Someone may have a set or two pair already or they might make two pair with the card which helps us.
Counting Outs Real Life Example:
How many outs do we have here?
Our opponent has 44 and we have 9♥8♥ on T♥5♣3♥7♠ board.
- We have two overcards to our opponent so that is 3 outs for the 9 and 3 outs for the 8 for a total of 6.
- We have a J and a 6 to complete our straight which is 4 each for a total of 8.
- We also have a flush draw of which there is 13 hearts in total. We have 2 of them hearts, our opponent has one and there are two on the board. That leaves 8 hearts.
That gives a total of 22 outs..
However we have double counted some of the outs. The 6♥ and the J♥ are counted in the flush and the straight counts we made.
We should only count them once meaning that we now have a total of 20 outs. Using the rule of 2 and 4, we know that we have approximately 40% equity since we are on the turn.
That means we should be calling almost any sized bet on this turn if we knew our opponent had a pair of 4's on the board.
Conclusion
Counting outs is not the most difficult of tasks a poker player must perform; however but it is one of the most useful. If you know how to count and think about your outs you are well of some of the poker population.
Counting outs allows you to understand how likely you are to win the hand. This allow you to decide whether you want to continue versus a bet or raise and hence make more informed decisions at the poker table.
Poker Outs Chart
The more likely to win the hand, the less likely you should be to fold.
Poker Outs Practice
Follow up this lesson with another on Pot Equity.