SHANSIO · LEARN
How to read probability and equity
The calculator estimates showdown outcomes for selected cards and assumptions about opponents. Equity measures the expected share of one single pot.
Three selections and a share
“Win without tie” means that your valid five is the only best. "Tie" means that you share the best result with others. “Losing” also includes cases when your opponents split the pot without you. These three probabilities add up to 100%.
If you win individually, your share is 1. If two participants have the best hand, your share is 1/2; if three, equal to 1/3. Equity averages these shares over the considered outcomes. For example, one draw between two players gives 0% solo win, 100% split and 50% equity.
Brute force or simulation
If all hands are known and there are no more than two community cards left, Shansio cycles through the valid options. With random hands, the service selects compatible cards equally likely, without returning within the same hand, and shows the approximate result with the ≈ sign and the number of actual simulations performed. The margin of error reflects the randomness of the sample, not knowledge of the opponent's actual range.
In hold'em on the river against one random opponent, a exhaustive enumeration is available. In Omaha, this case is modeled by default, since there are significantly more options and work for the evaluator.
One pot, two different interest rates
T♠ 2♣ vs 9♥ 9♦ on the turn A♠ K♥ Q♦ J♣ has 44 equally likely rivers: 41 wins and 3 splits. The probability of an individual win is 41/44, or 93.18%, and the equity is (2x41+3)/(2x44)=85/88, or 96.59%. The difference comes from half the pot with each tie. If A♠ A♥ plays against A♦ A♣ on the turn K♣ Q♦ J♥ 10♠, all 44 rivers give a split: 0% single win, 50% equity. These are imputed calculations of two fully known hands. Estimate equity on undiscovered cards.