- Poker Card Probability Calculator
- 5 Card Poker Probability Calculator
- 5 Card Poker Probability Calculator
Our poker calculator lets you simulate any poker hand and calculates the chances of you holding a winning hand. This flexible tool allows you to run through scenarios, revisit a moment of unlikely glory, get an edge by playing it safe, or work out the odds of your draw paying off. 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.
How the poker calculator works
The Grosvenor Casinos Poker Calculator works by using what’s known as a “Monte Carlo” algorithm. This algorithm estimates the percentage of making a hand in Texas Hold’em by simulating what would or could happen had the hand been played out multiple times. The calculator runs all the possible outcomes of the hand from the point at which the player is on the board until it hits a limit of 12,500 simulations.
Why 12,500?
To ensure a perfectly accurate percentage each time, one would need to run hundreds of thousands of simulations, which would cause the calculator to run much slower – especially where there are no board cards. Instead, we have chosen to impose a limit of 12,500 possible outcomes, which means the calculator is within 1.5% accuracy of the displayed percentages. For calculations that have less than 12,500 outcomes (when the hand progresses further) the calculation is more accurate. To ensure the tool calculates hand percentages as quickly as possible, the calculations run on a separate server – as opposed to the individual’s computer.
Single Probability Calculator
Formulas:
- Probability of event A occurring P(A) = n(A) / n(S).
- Probability of event A not occurring P(A') = 1 - P(A).
Poker Card Probability Calculator
Formulas:
5 Card Poker Probability Calculator
- Probability of event A occurring P(A) = n(A) / n(S).
- Probability of event A not occurring P(A') = 1 - P(A).
- Probability of event B occurring P(B) = n(B) / n(S).
- Probability of event B not occurring P(B') = 1 - P(B).
- Probability of both events occurring P(A ∩ B) = P(A) x P(B).
- Probability of either events occurring P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
- Conditional Probability P(A | B) = P(A ∩ B) / P(B).
Example Multiple Probability Calculation
Find multiple event probabilitiy, given n(s) = 50, n(A) = 10 and n(B) = 5
5 Card Poker Probability Calculator
- P(A) = 10/50 = 0.2
- P(A') = 1-0.2 = 0.8
- P(B) = 5/50 = 0.1
- P(B') = 1-0.1 = 0.9
- P(A ∩ B) = 0.2 *0.1 = 0.02
- P(A ∪ B) = ( 0.2 + 0.1 ) - 0.02 = 0.28
- P(A | B) = 0.02 / 0.1 = 0.2