| Win% | - Percentage of winning a for a given hand. |
| Tie% | - Percentage of tying for a given hand. |
| Eq% | - Percentage off the pot that the player can expect to win. |
Omaha hi-low and Stud Eight Or Better also show:
| Win lo% | - Percentage of winning the lowest valued hand. |
| Tie lo% | - Percentage of tying with the lowest hand. |
| Scoop% | - Change of winning both the Hi and the Low hand expressed as a percentage. |
Exhaustive enumeration can be defined as evaluating "all possible combinations" to determine an outcome. Exhaustive enumeration for a poker calculation will give the most accurate results since every possible scenario is evaluated. The Holdem and Omaha calculations use exhaustive enumeration since to achieve the results.
Monte Carlo Simulations rely on using a random sampling to obtain the numerical results of an outcome. The Monte Carlo method is used when the results of a computation may take an extremely long time to calculate or when it is nearly impossible to determine an with exhasutive enumeration. This means that each time a calcuation as performed, the results will be slightly different. The difference however is negligile and should not affect substantially affect the outcome.
Seven Card stud, Razz and Eight or Better rely on Monte Carlo simulation to determine the various percentages. Since there is no board cards, for these three games, an exhaustive calculation would take a long time for the results to be determined.
Exhaustive emulation allows the monte carlo simulation to behave like an exhaustive result calculation for a given hand by returning the same result everytime the calculation for a given scenario is performed rather than using a different sample each time.
For example: calculating the results for a Razz hand with the emulation turned offResults First Calculation
Player 1 - Win 86.40% Tie 0.01% and EQ 86.40%
Player 2 - Win 13.40% Win Tie 0.01 and EQ 13.60
Results Second Calculation
Player 1 - Win 86.43% Tie 0.01% and EQ 86.43%
Player 2 - Win 13.57% Win Tie 0.01 and EQ 13.57
As you can see the percentages changed by 0.03%. This difference was a result of a a different random sample. With Exhaustive Emulation turned on, the results of the first and second calcualtion would be the same since the same sample is used each time.
What is Equity?
Most poker apps and poker on television show the win and tie percentage together to indicate the chance of winning or tying with a given hand. While that is very helpful to estimate the outcome, it does not always reflect the "economic value" of given hand.
Equity on the other hand, can show the economic value of a hand and can be defined as a percentage of the "pot" that a hand is expected to win over time.