Enter Cards, Bets, and Paytables
Example Data Table
| Example Hand | Hand Type | Common Pair Plus Pay | Meaning |
|---|---|---|---|
| A♠ K♠ Q♠ | Straight Flush | 40 to 1 | Three suited cards in sequence. |
| 9♣ 9♦ 9♥ | Three of a Kind | 30 to 1 | All three cards share one rank. |
| 7♣ 8♦ 9♥ | Straight | 6 to 1 | Three cards form a sequence. |
| K♥ 8♥ 3♥ | Flush | 4 to 1 | All cards share one suit. |
| Q♣ Q♦ 5♠ | Pair | 1 to 1 | Two cards share one rank. |
Formula Used
The calculator evaluates every possible three-card combination from the available deck. The main probability formula is:
Probability = Favorable combinations ÷ Total available combinations
Expected profit is calculated as:
Expected profit = Sum of all possible profits ÷ Number of possible outcomes
For a known player hand, the script removes those cards from the deck. It then checks every possible dealer hand. Dealer qualification, wins, losses, pushes, ante bonus, and Pair Plus returns are included.
How to Use This Calculator
Select all three player cards when you already know the hand. Leave the cards blank to view overall hand distribution. Enter your ante, Pair Plus bet, play multiplier, and paytable values. You can also remove known dead cards from the deck. Press the calculate button to show results above the form. Use the CSV or PDF buttons to save the current result.
Understanding 3 Card Poker Odds
Three card poker uses a small hand size. That makes exact counting practical. A standard deck has 22,100 possible three-card hands before any card is known. Each hand falls into a clear rank group. Straight flush is the strongest group. High card is the weakest group. The calculator counts those groups directly.
Why Combination Counting Matters
Odds can change quickly after cards are known. A player hand removes three cards. Dead cards remove more cards. The remaining deck creates a new set of dealer hands. This tool rebuilds that set each time. It does not rely on rough averages. That helps users compare real cases with cleaner numbers.
Main Game Evaluation
In the ante and play wager, the dealer usually needs queen high or better. The calculator lets you change that qualification rule. If the dealer fails to qualify, the ante wins and the play bet pushes. If the dealer qualifies, the player hand is compared against the dealer hand. Wins, losses, and pushes are counted across every dealer combination.
Pair Plus and Bonus Values
Pair Plus depends only on the player hand. The dealer hand does not matter. A pair or better normally earns a payout. Lower hands lose that side bet. The ante bonus is different. It rewards strong hands like straights, trips, and straight flushes. You can edit both paytables in the form.
Reading the Output
A positive expected value means the selected setup returns profit on average. A negative value means the setup loses on average. Casino games often carry a house edge. Use these results for study and comparison only. Keep wagers small and set limits before playing.
FAQs
What does this calculator measure?
It measures three card poker hand odds, dealer qualification chance, side bet value, bonus value, and expected profit from selected inputs.
Can I use my exact player hand?
Yes. Select all three player cards. The calculator removes them from the deck and checks every possible dealer hand.
What happens if I leave cards blank?
The calculator shows overall three-card hand distribution. It also estimates Pair Plus and ante bonus values from all available combinations.
What is dealer qualification?
Dealer qualification is the minimum hand needed for the dealer to fully play. Queen high or better is the common rule.
Does Pair Plus depend on the dealer?
No. Pair Plus depends only on the player hand. The dealer hand does not affect that side bet result.
Can I change payout rules?
Yes. Edit the Pair Plus and ante bonus fields. This helps match different casino paytables or practice examples.
What are removed cards?
Removed cards are known unavailable cards. Add them when cards are exposed, burned, or excluded from the current deck.
Are the results guaranteed outcomes?
No. The results are mathematical estimates from exact combinations. Actual short-term outcomes can vary greatly from expected values.