Poker Odds Calculator Vs Range
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- Poker Odds Calculator Vs Ranges
- Poker Odds Calculator Vs Range Calculator
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888poker Odds Calculator: If you don’t have any poker software on your computer to assist you with your poker equity calculations, the 888poker website has a free equity calculator tool available for anyone to use. Flopzilla: This program brings so much more dimension to calculating equities versus your opponent in a hand. Being able to input.
Introduction
This page answers common questions, concerns, and complaints about the video poker strategy calculator.
- The poker odds calculators on CardPlayer.com let you run any scenario that you see at the poker table, see your odds and outs, and cover the math of winning and losing poker hands. Texas Hold'em Omaha.
- All In Match Up Odds. The table below shows the odds of each hand winning in typical all-in match ups in Texas Holdem.The percentage chance of winning assumes that both players are all-in and that all 5 community cards will be dealt to determine a winner.
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A proper play is missing from the strategy
This is most likely not an error, but the result of very carefully thought-out methodology.
A good example of this is Suited King-Ten in 8/5 Bonus Poker. This play does not appear in the basic strategy at all — the basic strategy would have you always hold only the King. However, Suited King-Ten being sometimes better than holding only the King does appear in the list of exceptions with examples of the types of hands where this applies.
To understand why this occurs, you need to understand the goal behind the basic strategy itself: The basic strategy is designed to be as accurate as possible when exceptions are not used, however, there are two ways to interpret or accomplish this task:
1. Make the basic strategy return as much as possible, regardless of how many exceptions it ends up having; or
2. Make the basic strategy have as few exceptions as possible, regardless of how much the strategy returns.
The video poker strategy calculator uses the first method, which results in a strategy that returns as much as possible for the player who chooses to disregard exceptions. In the case of 8/5 Bonus Poker, having the basic strategy omit Suited King-Ten returns more in the long run than a basic strategy which includes Suited King-Ten as always beating holding only the King.
If a play appears to be missing from the basic strategy, check the list of exceptions — it is probably there for a good reason.
A lower-paying hand is listed higher than a higher-paying hand
If you look at the strategy for 9/6 Jacks or Better you will notice that the first line has Full House, Straight Flush, and Royal Flush, whereas the second line has the various Four of a Kinds.
There are a couple of reasons why this happens. First, the video poker strategy calculator intentionally treats Four of a Kind (when no kicker is held) as a 'partial' play, because in some games (such as Double Double Bonus), a kicker could increase the prize. Second, the strategy calculator traverses the basic strategy and groups together plays of the same type which do not conflict with any of the hands in between them. An example will help explain this process better.
With 9/6 Jacks or Better, before grouping plays together, the top part of the basic strategy would resemble the following:
- Pat Hand (Royal Flush)
- Pat Hand (Straight Flush)
- Four of a Kind (AAAA)
- Four of a Kind (KKKK)
- Four of a Kind (QQQQ)
- Four of a Kind (JJJJ)
- Four of a Kind (TTTT)
- Four of a Kind (9999)
- Four of a Kind (8888)
- Four of a Kind (7777)
- Four of a Kind (6666)
- Four of a Kind (5555)
- Four of a Kind (4444)
- Four of a Kind (3333)
- Four of a Kind (2222)
- Pat Hand (Full House)
- etc.
When the software goes through the list from top to bottom, it first sees that Royal Flush and Straight Flush are of the same type, so it tries to combine them. In order to combine two plays, there must be no plays in between them which conflict with either one. In this case there are not (Royal Flush and Straight Flush are adjacent), and you cannot have both in the same hand, so they are successfully grouped together into a single line.
Next, it will try to group this new line with each of the Four of a Kind plays, but it won't even try because they are of different types ('Pat Hand' holds everything whereas 'Four of a Kind' holds only four cards, so the plays are recognized as being different and thus not combinable). Then it will reach the Full House, and again check to see if grouping the SF/RF line with the Full House would affect the return of the strategy. Four of a Kind does not conflict with Full House, because you can never have both in the same hand. The software recognizes this and merges Full House into the line which has the Straight Flush and Royal Flush.
Eventually, the software will also look at all of the Four of a Kind plays and recognize that they can all be combined into a single line. The end result is the first two lines of the 9/6 Jacks or Better strategy; the first line has Full House, Straight Flush, and Royal Flush; and the second line has all of the various Four of a Kinds.
This might give the impression that a Full House beats Four of a Kind, however, such a comparison is moot/null/void because you can never be faced with the decision, 'Do I keep the Four of a Kind or do I keep the Full House?' in the same hand. Therefore it doesn't matter whether Full House appears above or below Four of a Kind.
Why does the strategy calculator produce different strategies than the manually-created strategies?
There are two reasons why the computer-generated strategies differ from the hand-written strategies listed on my main video poker page.
First, the hand-written strategies are more detailed, often including the expected return of each play.
Second, the hand-written strategies are custom tailored to the specific game to which they apply, whereas the strategy generator is designed to accommodate as many games as accurately and concisely as possible.
For example, in the optimal 9/6 Jacks or Better strategy, there are separate lines for holding only an Ace, only a King, only a Queen, and only a Jack. Having done it this way lets you see the expected return of each such play individually.
By contrast, the automatically-generated strategy has all four of these plays combined into a single line, because ultimately they do not conflict with each other. That is, if you had more than one high card in the hand, a better play applies anyway (JQ, JK, QK, JA, QA, or KA at the bare minimum), therefore all four of them can safely be grouped together onto a single line.
I can't find a specific play in the strategy
If you cannot find a certain play in either the basic strategy OR the list of exceptions, then it means that you should never make that play. For example, Suited Ace-Ten in 9/6 Jacks or Better is never the correct play, thus it never appears in the basic strategy or in the exceptions.
Can you explain the list of exceptions?
As described in the first question, the strategy generator makes the basic strategy as accurate as possible, regardless of how many exceptions it ends up having. That is, if you followed only the basic strategy and ignored the exceptions, the basic strategy itself returns as much as possible in the long run. As a result, there are some cases where the list of exceptions is fairly long, although each individual exception typically accounts for a negligible increase in return. The list of exceptions are sorted such that the first exception in the list occurs the most often, and the last exception in the list occurs the least often.
The way the list of exceptions is designed is as follows: if the basic strategy indicates that Play X is better than Play Y (or Play Y is completely missing from the basic strategy), but there are cases where Play Y beats Play X, an entry will appear in the list of exceptions indicating that 'Play Y sometimes beats Play X' with a list of every unique hand where the exception applies.
For example, in 9/6 Jacks or Better, the second exception says that holding only a King sometimes beats holding Suited King-Ten. If you expand the list of exceptions, you'll see a list of the 80 unique hand patterns where this exception applies. The first unique hand in the list is 2♣ 3♦ 9♣ T♦ K♦. If you look at this hand's suits not as absolute suits but as relative suits, you'll notice that the 3-10-K can be any one of the four suits, and the 2-9 can be any one of the other three suits, for a total of 4*3 = 12 similar hands. The list of exceptions only shows one suit rotation for each unique hand, which in this case used clubs and diamonds.
It is up to you to determine how to describe the exceptions; trying to write computer code to pinpoint the exact rules for each exception is exceedingly difficult. If you take video poker seriously enough to worry about the exceptions, chances are you'll be able to figure out when or why each exception applies by studying the list of unique hands. For this particular exception in 9/6 Jacks or Better, it is well known that the situation which causes the King to beat Suited King-Ten is when there is a Flush penalty discard as well as a 9; each unique hand in the list of exceptions for this situation satisfies this condition.
Written by:Michael Shackleford
The table below shows the odds of each hand winning in typical all-in match ups in Texas Holdem. The percentage chance of winning assumes that both players are all-in and that all 5 community cards will be dealt to determine a winner. The table also assumes that there are no other players in the hand, although the results should be very similar.
All-in hands probability odds chart.
Typical Match Up | Hand 1 | Hand 2 | ||
---|---|---|---|---|
Under Pair vs. Overcards | T T | 57% | 43% | A K |
Overpair vs. Pair | K K | 80% | 20% | 9 9 |
2 Overcards vs. 2 Undercards | A Q | 63% | 37% | 5 7 |
Dominated Hand | A J | 79% | 21% | J T |
Very Dominated Hand | Q Q | 89% | 11% | Q J |
Overcard vs. Dominated Kicker | A 9 | 29% | 71% | 9 9 |
Pair vs. 1 Overcard | 8 8 | 69% | 31% | A 5 |
1 Overcard vs. 2 Middle Cards | J 4 | 57% | 43% | 6 8 |
How to use the all in match-ups odds chart.
The table can be used to estimate your chances of winning in common all-in situations, however, the table does not highlight the exact probabilities for the certain match-ups in general.
For example: in the pair v overcards match-up, 2 2 would be a 53% favourite against A K instead of being a slightly stronger favourite like T T with a 57% chance of winning. The is due to other factors such as the increased probability that two overpairs will appear on the board creating a higher two-pair with a better kicker for the player holding A K.
All in match up odds evaluation.
As you can see from the table, some of the match-ups are closer than you might expect them to be. For example, if you have another player dominated with a hand like A J against J T, your opponent will win the pot 1 time in 4. Therefore you should be careful not to become overly excited when cards like these are turned over in an all-in situation, because your opponent is not always as far behind as you think.
Another interesting all-in match up is the very common AK versus an under pair. The table shows that although the odds are fairly even, the under-pair will usually have the slight advantage.
Poker Odds Calculator Vs Rangers
This means that it is always better to be pushing all-in rather than calling an all-in with AK if necessary, because to call with AK against an under pair is a losing play in the long run. By pushing all-in with AK you give your opponent the opportunity to fold for fear of an overpair, which will improve your expectation in the long run.
Go back to the poker odds charts.
Poker Odds Calculator Vs Ranges
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