A river with 150 checks
Complete all player cards and the board. Direct exact comparison examines fifteen pairs against ten board triples for each seat and exposes the winning two-card pair.
6 Card PLO Odds Calculator
The 6 Card PLO odds calculator evaluates fifteen possible hole-card pairs for every player. It uses local simulation for large spaces and budgeted exact analysis postflop without relaxing Omaha’s exact two-hole plus three-board construction.
Player hands
Community board
Flop
Turn
River
Every completed hand checks 150 legal two-hole plus three-board candidates.
Fifteen pairs and 150 legal river candidates
Six dealt cards yield C(6,2), or fifteen, private-card pairs. Ten possible board triples lift the per-player river total to 150 legal candidates. Many share cards and ranks, yet each candidate is independently scored before the strongest compact comparison vector is selected.
The expanded overlap can make visual shortcuts especially unreliable. Three appealing hole cards cannot all enter a straight, full house, or flush. Used-card output confirms the exact pair, while duplicate-card validation prevents any physical card from occupying two locations.
Why preflop normally uses simulation
A six-card table removes many blockers but still leaves a vast set of five-card boards. Multiplying those runouts by players and 150 evaluations makes exhaustive preflop work unsuitable for an interactive page. Auto therefore selects PLO simulation before the flop and whenever a random participant is present.
Sampling deals random players first in stable seat order, then draws missing board cards from the reduced deck. A seeded Fisher–Yates selection provides reproducibility without replacement. No position receives a privileged card source.
Postflop exact budgets protect responsiveness
Turn and river comparisons with complete fixed holdings generally fit the exact budget. A flop may also fit because only two community cards remain, but the 6 Card PLO odds calculator estimates five-card evaluations before starting. If a forced request exceeds the device budget, it reports the boundary rather than mislabeling a sample.
Desktop and mobile limits differ because 150 candidate checks per player can be expensive on small devices. Calculation stays in a same-origin worker, progress is announced, cancellation yields between batches, and a superseded request cannot overwrite newer input.
What six-card Omaha equity means
The headline number averages full or tied pot share. Sole wins, ties, and losses explain its components. Current best-hand cards describe the entered board only; future runouts can choose a different pair from the six-card holding.
Results are mathematical outputs for supplied or uniform-random hands. They do not incorporate a room’s game availability, betting behavior, range weights, rake, or future decisions. Browser processing keeps selected cards local unless a user intentionally builds a share URL.
Worked examples
Responsive preflop estimate
Leave the board empty and choose Balanced. The worker reports Monte Carlo iterations, seed, progress, and elapsed time rather than claiming an infeasible exact result.
Frequently asked questions
How many legal five-card candidates are checked?
On a full board the evaluator checks 15 hole pairs times 10 board triples, or 150 candidates per player.
Why is 6 Card PLO usually simulated preflop?
The complete-board state space multiplied by 150 candidate evaluations is too large for responsive exhaustive browser work.
Does six-card Omaha use three hole cards?
No. The game still uses exactly two hole cards; six cards merely offer fifteen possible pairs.
How does the calculator prevent duplicate cards?
Known cards are validated globally, and random players plus board runouts draw without replacement from one reduced deck.
When is a postflop result exact?
It is exact when all hands are fixed, a flop or later is entered, and the estimated work stays inside the displayed device budget.