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Irish Poker: Deal and Two-Card Discard After the Flop

Irish Poker: how the deal works and which two cards to keep

Contents

Irish Poker is a Hold'em-style card variant in which each player is dealt 4 hole cards face down, discards 2 after the flop (as DeucesCracked and Pokerology describe it), and plays the hand with the remaining two.

For example, K♥ Q♥ on J♥ 10♥ 3♠ has 77.2% showdown equity against one random opponent on this flop. Against three random opponents, it has 62.2%. This is not an “always keep” recommendation: the choice depends on the board, the opponents and whether you discard before or after seeing the flop.

What the game is

Irish Poker starts with four hole cards and ends with two, unlike Hold'em, where you begin with two. The extra cards give you a choice, but you cannot keep all four until showdown.

After discarding, you make the best five-card hand from your two remaining hole cards and five community cards. You may use both hole cards, one or neither. Omaha is different: your final hand must contain exactly two hole cards.

Standard Hold'em hand rankings apply; there is no separate Irish Poker ranking system. Pokerology, “How to Play Irish Poker: Rules and Drinking Game”, domain pokerology.com, describes these rankings. The final-hand rules are also described by DeucesCracked, “Irish Poker Rules — Where Hold'em Meets Omaha”, domain deucescracked.com.

How the deal goes step by step

Irish Poker deal sequence: 4 hole cards, 2 discarded after the flop, showdown with 2 cards and 5 community cardsEducational diagram: the discard comes after the flop betting round. It is not a casino interface.

In the sequence used here, you discard two cards after the flop betting round. The remaining two stay in your hand through the turn, river and showdown.

  1. Deal four hole cards face down to each player. You can see your own cards, but not your opponents’ cards.
  2. Hold the first betting round. No community cards are visible yet.
  3. Deal the flop. Three community cards are placed face up.
  4. Hold the flop betting round. Players can now assess their four hole cards alongside the board.
  5. Discard two cards. Each continuing player keeps two hole cards.
  6. Deal the turn and river, with betting after each. These complete the five community cards.
  7. Compare hands at showdown. Each remaining player makes the best available five-card hand.

There is a source conflict. PokerNews, “Irish Poker”, domain pokernews.com, places the discard after the first betting round, before the flop. This article follows the after-the-flop betting round order described by DeucesCracked and Pokerology. Agree on the discard order before playing: it determines what information players have when choosing their pair.

The discard is the main decision

Choose your pair in light of the visible flop, not just the apparent strength of your original four cards. Seeing the board lets you assess how each possible pair connects with the community cards.

With K♥ Q♥ 7♣ 7♦ on J♥ 10♥ 3♠, the sevens already make a pair. K♥ Q♥ instead connects with the hearts and consecutive ranks on the flop. A rule such as “always keep the made pair” overlooks those possibilities.

Before discarding, you see the board and your own four hole cards. These are known cards: none can also be in an opponent’s hand. Your opponents’ cards remain unknown, so assumptions about their hands affect the comparison.

In the calculation below, discarded cards leave the hand and are removed from further dealing. This is a calculation assumption, not a verified universal rule for every home variant. Keeping K♥ Q♥ therefore removes both sevens rather than returning them to the deck.

Example: six pairs on one flop

Under these assumptions, on the flop J♥ 10♥ 3♠, K♥ Q♥ has the highest showdown equity among the available pairs. That conclusion applies to this comparison, not to every hand containing similar cards.

Your original hole cards are K♥ Q♥ 7♣ 7♦. There are six possible pairs to keep, grouped into four rows because the choices involving different sevens give identical results.

Kept pair1 opponent3 opponents
K♥ Q♥77.2%62.2%
7♣ 7♦60.0%24.1%
K♥ 7♣ or K♥ 7♦42.5%15.5%
Q♥ 7♣ or Q♥ 7♦38.2%14.0%

K♥ 7♣ and K♥ 7♦ are identical on this flop: the difference between clubs and diamonds does not change the available hands. The same applies to Q♥ 7♣ and Q♥ 7♦.

The calculation assumes:

  • Random opponent hands.
  • Random turn and river cards.
  • All four original hole cards excluded from further dealing.
  • Every hand evaluated at showdown, without later betting decisions.
  • Ties split between the tied players.

How the figures are calculated and read

Showdown equity is the average share of the pot, including ties, rather than the percentage of outright wins. For each simulated deal, the calculation evaluates the completed hands and records the full or partial pot share earned. The sum of those shares divided by the number of deals gives showdown equity.

After accounting for the flop and your four cards, 45 cards remain. Each variant used 300,000 Monte Carlo deals, with common random numbers across comparisons and random seed 20261026. The table displays percentages rounded to one decimal place.

So, 77.2% describes an estimated average pot share under the stated assumptions. It does not predict the results of your next hands or specify how much you would need to invest to reach showdown.

What changes the conclusion

The number of opponents and the discard order both change the comparison. A result against one player does not carry over unchanged to a pot with several opponents.

For K♥ Q♥, moving from one random opponent to three reduces showdown equity from 77.2% to 62.2%. For 7♣ 7♦, it falls from 60.0% to 24.1%. Their order in the table stays the same, but both receive a smaller average share of the pot.

With a blind discard before the flop against one random opponent, 7♣ 7♦ has 67.7%, compared with 64.6% for K♥ Q♥. The sevens rank higher in that comparison. However, those figures are averaged over flops and must not be compared directly with 77.2% on the specific flop J♥ 10♥ 3♠.

The conditional conclusion is: under these assumptions, on this flop, K♥ Q♥ has more showdown equity than the pair of sevens; with three opponents, both figures fall. It is not a general discard rule.

Limits of the calculation

These figures describe random opponent hands on one particular flop, not a complete decision at a real table. Do not apply them to another situation without recalculating.

The main limitation is the random-hand assumption. Real opponents also discard and can keep stronger pairs of cards. Comparing against random hands therefore overstates your chances relative to opponents who select their remaining cards deliberately.

Showdown equity is also not the expected value (EV) of a decision. Evaluating a decision requires the cost of continuing, the pot size, subsequent bets and the likelihood of folds. None of those appear in this table.

There is statistical uncertainty, too. Allow about ±0.3 percentage points when reading the figures. A check using a second seed over 120,000 deals differed by 0.3 percentage points for K♥ Q♥ (77.2% vs 76.9%). Displaying a decimal place does not imply exact precision.

Boundary with the home game

The home guessing game involving colour and “higher or lower” is a separate game, not a simplified version of this poker deal. The home version with guessing explains that game. Its guessing tasks should not be mixed with the poker decision about which two hole cards to retain.

Tools for checking

Different tools can check parts of the decision, but they should not be treated as automatic selectors of the best two cards from four.

An equity calculator compares showdown equity when one hand faces another. It does not automatically reproduce this discard comparison, which must account for all four original hole cards and the dealing assumptions.

To count only how many cards improve your hand by the turn, use the outs calculator or the rule of 2 and 4. That is a narrower question than showdown equity, and neither replaces comparing completed hands.

After the discard, the hand continues according to Texas Hold'em rules, with the turn, river and betting after each. By contrast, five-card draw is another variant involving an exchange of cards during the hand. Here, discarding reduces your hole cards rather than giving you replacements.

Common mistakes

The main mistakes are confusing the hand-building rule, assuming a single discard order and applying percentages outside their original conditions.

  • Applying the Omaha rule. Having two hole cards left does not mean you must use both in your final hand.
  • Treating the PokerNews before-the-flop discard as the only order. DeucesCracked and Pokerology place the discard after the flop, so agree on the sequence before playing.
  • Moving the 77.2% figure to another situation. It describes K♥ Q♥ on J♥ 10♥ 3♠ against one random opponent under the stated assumptions, not any deal with these hole cards. A different board changes how the retained pairs perform.
FAQ

Frequently Asked Questions

Not in the order used here: the flop and its betting round come before the two-card discard. DeucesCracked and Pokerology describe this order. PokerNews places the discard before the flop, so agree on the sequence before playing.

Not to isolate the effect of choosing different hole cards. Changing the flop also changes the calculation conditions. To compare kept pairs fairly, use the same community cards, number of opponents and assumptions about their hands.

After discarding, you have two hole cards left, but you do not have to use both in your final hand. Omaha requires exactly two hole cards in the final five-card hand.

No. Guessing the colour or choosing “higher or lower” belongs to a separate home game with the same name. Betting, community cards and choosing two hole cards belong to the card variant explained here.

Showdown equity measures your share of the pot under specified hand and board assumptions, including split ties. The expected value (EV) of a decision also depends on the cost of the action, bets and how often players fold.

Evgeniy Volkov

Verified Expert
Fullstack Developer

Fullstack developer with a background in mathematics. I build the calculators and game-style tools on ToolsGambling with Pixi.js and modern web tech, and every result uses transparent probability formulas you can verify yourself.

EducationMathematics
SpecializationiGaming
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