Pocket Fours Draw Odds

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Four of Spades Four of Hearts
Two of Spades
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Nine of Spades
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Ace of Spades
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Five of Hearts
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Eight of Hearts
Nine of Hearts
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Two of Clubs
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Five of Clubs
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Two of Diamonds
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Ace of Diamonds

Draw Odds

Hand On The Flop By The Turn By The River
High Card 0.00 % 0.00 % 0.00 %
Pair 71.84 % 54.15 % 35.42 %
Two Pair 16.16 % 28.54 % 39.52 %
Three Of A Kind 10.78 % 12.23 % 11.73 %
Straight 0.00 % 0.44 % 1.97 %
Flush 0.00 % 0.43 % 1.95 %
Full House 0.98 % 3.71 % 8.55 %
Four Of A Kind 0.24 % 0.49 % 0.84 %
Straight Flush 0.00 % 0.00 % 0.02 %

Odds Of An Overcard On The Board

On The Flop By The Turn By The River
99.39 % 99.91 % 99.99 %

Odds Of An Opponent Having a Higher Pocket Pair

Number Of Opponents Odds
1 4.9%
2 9.56%
3 13.95%
4 18.06%
5 21.86%
6 25.32%
7 28.41%
8 31.09%
9 33.34%

Pocket Fours (44) – Odds Breakdown and Analysis

Pocket Fours is a small pocket pair with a clear and well-defined purpose: flop a set or proceed with caution. It arrives with immediate showdown value as a made pair, but that value is fragile against the field. Almost every opponent at the table holds at least one overcard to your Fours, and the board will almost certainly produce overcards too.

It is not a hand you play for its raw strength. It is a hand you play for its set potential and the implied odds that come with it.


What These Odds Show for 44

The draw odds for Pocket Fours are nearly identical to other small pocket pairs, which reflects the mathematical symmetry of the hand category. On the flop, you will have a pair 71.84% of the time – but that pair is already in your hand before the flop, so the real question is what the board brings alongside it.

The set odds are the headline figure. Three of a kind comes in at 10.78% on the flop, which is the roughly 1-in-9 chance that poker players commonly cite for flopping a set with a pocket pair. By the river that figure settles at 11.73%, with the difference explained by the fact that some sets improve further into full houses and four of a kind as the hand progresses.

Speaking of which, the full house odds by the river reach 8.55% and four of a kind lands at 0.84% – both outcomes that are extremely profitable when they occur, typically against opponents who cannot put you on that kind of strength.

The overcard table is stark. There is a 99.39% chance of an overcard appearing on the flop, rising to effectively 100% by the river. This is not a surprise – Fours are beaten in rank by every card from Five through Ace, meaning almost any board card will be an overcard. This single number captures why Pocket Fours cannot be played as a straightforward top-pair hand. If you miss your set, overcards are essentially guaranteed.

The higher pocket pair table is also important. Against a single opponent there is a 4.90% chance they hold a higher pocket pair, rising to 33.34% at a nine-handed table. Combined with the near-certain overcard odds, this reinforces that 44 is a set-mining hand first and everything else second.


Hand Strength Summary

  • Hand type: Small pocket pair
  • Relative strength: Marginal – heavily dependent on flopping a set
  • Strengths: Hidden strength when a set is flopped, guaranteed pair equity preflop
  • Main vulnerability: Overcards on virtually every board, dominated by any higher pocket pair

How Pocket Fours Wins

Pocket Fours wins in a few specific ways:

  • Flopping a set and winning a large pot against an opponent with top pair or an overpair
  • Improving to a full house or four of a kind against a hand that cannot fold
  • Winning uncontested pots preflop or on the flop when opponents miss and fold to a bet
  • Occasionally holding as the best hand against a very specific narrow range

The vast majority of 44’s long-term profit comes from set mining – the process of calling preflop with the intention of flopping three of a kind and winning a big pot.


Main Weaknesses

Pocket Fours has several critical limitations:

  • Overcards appear on the board essentially every hand, making the pair almost unplayable without improvement
  • A higher pocket pair has it dominated before the flop, and at a full table that happens roughly one in three times
  • Without a set, 44 has very little ability to continue against aggression on most board textures
  • Straight and flush potential is minimal – straights come in at under 2% by the river and the hand is offsuit by definition as a pair

Best and Worst Flop Textures

Strong flops

  • Any flop containing a Four (four of a kind included)
  • Low dry boards where the pair retains some unimproved value (e.g. 2♠ 3♦ 7♣)
  • Boards where a set of Fours is well-disguised against likely opponent holdings

Dangerous flops

  • Any high card flop where opponents are likely to have connected (A♠ K♦ Q♣ is a nightmare)
  • Wet coordinated boards where even a set can be vulnerable to straight or flush draws
  • Boards that pair a high card, giving opponents with overpairs a full house draw of their own

How It Plays by Position

  • Early position: A fold in many situations, or a limp in casual games; raising for value is rarely justified
  • Middle position: Can be played as a set-mine call against an open, but rarely worth raising with
  • Late position / Button: Best position to set mine – you can call an open with a clear plan, and position allows you to control pot size post-flop
  • Blinds: Defendable from the big blind against a single raiser given the price, but requires discipline to fold when the flop misses

Common Mistakes with Pocket Fours

  • Continuing post-flop without a set on boards full of overcards
  • Overvaluing the hand preflop and building a large pot before the flop
  • Calling off too many chips set mining in situations where implied odds do not justify it
  • Slowplaying sets too often on dynamic boards where draws are present

Comparison to Similar Hands

  • Stronger than: 22, 33 – marginally, though all small pairs play similarly
  • Weaker than: 55, 66 and upward – higher pairs have more unimproved value and face fewer overcards

Compared to a hand like 56s, Pocket Fours lacks the straight and flush potential but has the immediate pair equity. The gap between small pairs and medium pairs (77–99) is meaningful – medium pairs can sometimes hold unimproved on boards with fewer overcards.


How Pocket Fours Performs in Multiway Pots

Set mining with small pairs actually improves in multiway pots in terms of implied odds – more players means bigger pots when you hit. However, sets also become more vulnerable to being outdrawn in multiway situations, particularly on wet boards. The key discipline is recognising that even a flopped set of Fours on a coordinated board requires careful play when multiple opponents are involved.


FAQ: Pocket Fours

Should you raise or limp with Pocket Fours?

It depends on the game format and position. In many situations, calling a raise to set mine is the primary use case. Raising for value preflop is rarely the main objective.

How often do you flop a set with Pocket Fours?

Approximately 10.78% of the time – roughly once every nine flops. That is the core probability that defines how the hand is played.

What do you do if you miss the flop with Pocket Fours?

In most cases, you should fold to any significant aggression. On a dry board with no betting, a single continuation bet may be worthwhile, but continuing with an unimproved small pair on an overcard-heavy board is a losing play in the long run.

Why are overcards such a big problem for this hand?

Because there is a 99.39% chance of one appearing on the flop, your pair of Fours is almost never the top pair on the board. Any opponent holding a single card higher than a Four – which is almost every hand – has immediate pair potential that beats yours.


Related Hands

Poker Odds Calculator Explained

Use Bet Shrew Poker Odds Calculator to calculate the odds of making a hand while playing Texas Hold‘em poker.

Poker is a game of incomplete information as you do not have access to your opponent's hole cards while making your betting decisions. Unlike other online Poker Odds Calculators, the Bet Shrew Poker Odds Calculator reflects this and calculates your odds based only on the cards that you can see.

The Bet Shrew Poker Odds Calculator is perfect for beginners and intermediate players wanting to calculate their draw odds and outs quickly and accurately without any complicated maths.

The various odds tables that you may encounter while using the Bet Shrew odds calculator are explained below.

Starting Hand Odds

Before you have even been dealt your hand, the calculator will show you the odds of being dealt different possible starting hands. For example, it will show you the odds of being dealt pocket aces (note: this can be applied to any specific pair).

These odds can be particularly useful when you are short stacked, waiting for that all-in opportunity.

Draw Odds

When you specify your hole cards, the calculator will consider every possible combination of cards that can still be drawn from the deck, evaluate what hand you would make for each possible combination and calculate the odds of you making each hand.

The draw odds table will breakdown your odds of making a hand on the flop, by the turn and by the river.

Odds of a Higher Poker Pair

When you have a pocket pair, the Poker Odds Calculator will show you the odds of an opponent holding a higher pocket pair.

The odds of an opponent holding a higher pocket pair is dependent on how high your pocket pair is and the number of players at you table. The odds presented will automatically consider the cards you are holding and then show you a breakdown of the odds based on the number of players.

Please note that these odds are based on the number of players at your table, not the number of players in the hand. This is important to note because a player at your table could be dealt a higher pocket pair but fold.

Odds of an Over Card

The odds of an over card table shows the odds that a card with a higher value than your highest denomination card will be drawn on the board.

Knowing the odds of an over card being drawn allows you to bet an appropriate amount to price out players fishing for a higher pair.

To set your hole cards or any community cards, simply click on the card you wish to set from the deck. As you click on cards from the deck, first your hole cards will be set, followed by the flop, the turn and then the river. As you set the cards in the hand, draws odds will automatically be calculated and displayed.

To unset a card, simply click on it to return it to the deck. Clicking the new hand button will reset the whole table and allow you to calculate the odds for a new hand.

How are draw odds calculated?

To calculate your draw odds, the calculator generates every possible combination of cards that could be drawn from the deck. For each combination, it evaluates the best 5 card hand that can be made and tallies up how often that a hand is made. This yields the precise probability of making each hand type.

This is a computationally expensive process. For speed and performance benefits, draws odds have been pre-computed and stored. This means that rather than recalculating draw odds every time, the calculator only needs to lookup the correct values from a table; albeit a very large table.

For a guide on how to calculate draw odds manually yourself, see our guide to calculating draw odds and outs.

Why are the draw odds different to what I expected?

Calculating draw odds is tricky. To understand how and why the odds above may not be quite what you expected it is best to use an example.

Let's say that you have AS and KS in your hand and you want to know the odds of making a pair on the flop. There are 6 cards that can make you a pair (3 Aces and 3 Kings).

To calculate your odds you may intuitively say that the odds of drawing an Ace or a King as the first card of the flop is 6 divided by the 50 remaining cards in the deck and you would be correct.

For the second card of the flop you might be inclined to say that it would be 6 divided by the 49 cards remaining in the deck. However, you must also consider what impact the first flop card made on your odds. This is where the math can get tricky.

Let’s say the first flop card is a 7D. If the second flop card is any other 7, even though you have not paired your hole cards, the hand you have made is still a pair; a pair of sevens.

Using the same example of AS, KS, another consideration is what if you make a better hand like 2 pair or 3 of a kind?

If the first of the flop cards is an Ace, great you've made top pair! However, if another Ace or a King comes you have no longer made a pair you have made a better hand.

The Bet Shrew odds calculator factors these consideration in as it determines every possible combinations of cards that could be drawn, evaluates the best 5 card hand that can be made and aggregates the results to determine their probabilities.

For draw odds based on outs, check out our drawing odds and outs table.