HPD study room · Badugi rules and hand reading
Badugi rules: find your best hand before comparing the cards
The HPD spade has found the smallest puzzle piece and wants to keep it at all costs. Mara, our teacher, asks him to try the whole arrangement first. That is a useful habit in Badugi. Your lowest-looking card is not always the one that lets the most cards work together.
Badugi is a four-card draw game. A complete Badugi needs four different ranks and four different suits, with aces low. When that is impossible, your hand is read using its best valid three-card, two-card or one-card subset. Count the usable cards first. Only then compare their ranks, starting with the highest.
This lesson covers ordinary ace-low Badugi with three draws. It includes a clearly labeled fixed-limit teaching example and six hand-reading exercises. All deals are invented, all chip amounts are classroom units with no cash value, and the illustrations are story scenes. The exact cards are printed in the text and tables, so you can work through everything on paper.
Jump to valid cards, hand sizes, rank comparisons, the three draws, fixed-limit betting, or the six exercises.
A valid subset must pass two tests at once
Take the cards you want to count. No two may share a rank, and no two may share a suit. A♣ and 4♣ cannot both count because they are clubs. A♣ and A♦ cannot both count because they are aces. A♣ and 4♠ can count together: both the ranks and the suits differ. Black or red is irrelevant; clubs and spades are different suits even though both symbols are black.
The rank order runs A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. Aces never switch to high in this lesson. Consecutive ranks do not create a straight penalty. A♣ 2♦ 3♥ 4♠ is the best possible Badugi because it combines the four lowest ranks without repeating a suit.
A duplicate does not automatically make your entire holding dead. It reduces what can be used for its value. You still physically hold four cards after a normal deal or completed draw. A “three-card hand” describes the number that count at showdown, rather than permission to keep only three physical cards.
This also explains why “flushes do not matter” is a poor shortcut here. There is no ordinary flush category to award, but repeated suits matter enormously when selecting your usable cards. A♣ 3♣ 7♣ J♣ can count only A♣. The other clubs cannot join it, regardless of how nicely their ranks differ.
Four cards beat three, three beat two, two beat one
Badugi has a hand-size hierarchy. Every four-card Badugi beats every three-card hand. Every valid three-card hand beats every two-card hand, and every two-card hand beats every one-card hand. A low rank does not cross that boundary. Even the best three-card hand loses to the highest possible four-card Badugi.
| Complete holding | Best counted cards | How to read it |
|---|---|---|
| A♣ 3♣ 7♣ J♣ | A♣ | One-card ace |
| A♣ A♦ 4♣ 4♦ | A♣ 4♦ or A♦ 4♣ | Two-card four-ace |
| A♣ 3♦ 5♥ 9♥ | A♣ 3♦ 5♥ | Three-card five-three-ace |
| A♣ 2♦ 3♥ 4♠ | All four cards | Four-three-two-ace Badugi |
The two-card example has more than one equally good selection. That is fine. A♣ 4♦ and A♦ 4♣ both produce the rank sequence 4-A. You do not gain a bonus for having two ways to make the same hand, and the suits do not decide which selection is stronger.
Keep the hand size in your written answer. “Five-low” alone can hide whether you mean a complete Badugi or a three-card five. A helpful study note is “three cards; 5-3-A; using A♣ 3♦ 5♥.” It shows the category, the comparison order and the actual cards. You can check each part separately.
Read equal-sized hands from the highest card down
Once the hand sizes match, write each counted set in descending rank order, with ace at the bottom. Compare the first position. If it ties, move to the next position. Stop as soon as you find a difference: the lower rank at that position wins. Never add the ranks together, and never begin with the ace.
For example, A♣ 4♦ 6♥ 9♠ produces 9-6-4-A. The holding 2♣ 3♦ 7♥ 8♠ produces 8-7-3-2. The second hand wins immediately because its highest card is eight instead of nine. Its seven and deuce do not need to be compared with the other hand’s six and ace.
Now compare A♣ 3♦ 7♥ 8♠ with 2♣ 4♦ 6♥ 8♦. First check legality. The second holding repeats diamonds, so it cannot be read as an eight-high Badugi at all. Its best subset is 2♣ 4♦ 6♥, a three-card six. The first hand wins by size. Sorting all four ranks before checking suits would answer the wrong question.
The same high-to-low comparison works for reduced hands. A three-card 7-5-A loses to a three-card 7-4-3 at the second comparison. An ace does not compensate for the five being higher than the four. Words such as “smooth” and “rough” describe the lower ranks within a hand, but the actual rank sequence settles the result.
If both the number of counted cards and every compared rank match, the hands tie. Different suits do not break that tie, and an unused fourth card is not a kicker. The players share the pot they are equally entitled to win. Any indivisible odd chip follows the particular game’s procedure; inventing a spade-over-heart tiebreak would change the rules.
Find the best subset before deciding what to discard
Here is a reliable paper method. Test all four cards together. If that fails, examine each possible three-card selection. Keep the best legal one. Only if no three-card selection works do you compare legal two-card selections. One card is the final fallback. Four cards have only four different three-card selections, so checking all of them is manageable.
A tempting shortcut is to keep the lowest card in each suit and clean up pairs afterwards. That can lose a usable card. With A♣ 2♣ A♦ 3♥, keeping A♣ first makes A♦ look redundant. Yet 2♣ A♦ 3♥ uses three distinct ranks and suits. The correct three-card result is 3-2-A. The higher club belongs in the best subset because it frees the ace to come from diamonds.
Another shortcut fails more quietly. A♣ A♦ 2♥ 3♥ contains three distinct ranks and three distinct suits, but it has no legal three-card subset. Using both non-heart suits repeats the ace. Using both non-ace ranks repeats hearts. Its best result is a two-card 2-A, using 2♥ and either ace. Counting the distinct ranks and suits separately cannot prove they fit together.
Finding your current hand value and choosing a draw are different jobs. A valid four-card king-high Badugi outranks every three-card hand right now. Whether to keep that king or break the hand for another draw depends on the situation. This lesson checks hand values and legal dealing; it does not turn a ranking exercise into an automatic betting or discarding recommendation.
A complete hand has three draws and four betting rounds
The standard triple-draw sequence begins with four private cards and an opening betting round. The remaining players may then replace cards. A draw replaces each discarded card with one new card. You may replace none, which is called standing pat, or replace as many as all four. After each draw comes another betting round.
| Step | What happens | Draws still available afterwards |
|---|---|---|
| Opening betting | Four private cards have been dealt; betting comes before any replacement | 3 |
| First draw, then betting | Choose discards, receive replacements, then complete the second betting round | 2 |
| Second draw, then betting | Repeat the draw procedure, then complete the third betting round | 1 |
| Third draw, then betting | Take the last replacement opportunity, then complete the fourth betting round | 0 |
| Showdown if needed | Compare the remaining players’ best valid subsets | 0 |
There is no shared flop, turn or river in Badugi. New cards join your private holding. Discards do not remain as extra cards available at showdown, and you cannot combine a discarded card with a later replacement to construct an imagined five-card holding.
In the multiway button-and-blinds structure used here, the opening action begins with the first active player clockwise from the big blind. Drawing starts with the first active player clockwise from the button, and later betting uses that same button-based starting point. Wait for your turn to declare a draw. Seeing another player’s draw count is part of the information that position provides.
Standing pat tells you that a player chose zero replacements. It does not expose the cards or certify a complete Badugi. A player can keep a reduced hand or use a pat action as part of a bluff. When reviewing a hand history, record “drew zero” as the observation. Treat “already had a good Badugi” as an inference that may be wrong.
Handle irregular deals, exposed replacements and a depleted deck under the room’s procedures. Those situations are not a license to choose a replacement from the discards yourself. For a paper exercise, the replacement cards are specified; in a live game, ask the dealer or floor to resolve a dealing problem before trying to repair it.
Fixed-limit betting changes size after the second draw
Badugi hand rankings do not by themselves identify the betting structure. Fixed-limit is common, but the game can also have pot-limit or no-limit betting. Read the full game label. This section uses a fixed-limit teaching structure with a small bet of 2 units and a big bet of 4 units; the numbers are invented practice amounts.
| Betting round | Bet or full raise increment | Example if one player bets and the next raises |
|---|---|---|
| Before the first draw | 2 units | Bet 2; raise to 4 |
| After the first draw | 2 units | Bet 2; raise to 4 |
| After the second draw | 4 units | Bet 4; raise to 8 |
| After the third draw | 4 units | Bet 4; raise to 8 |
The step up happens for the betting after the second draw. There are still two betting rounds left at that point. In the example, a player facing a fresh bet of 4 and making a full raise puts 8 into that round if they had contributed nothing yet. They call 4 and add a further 4 as the raise.
Do not infer a universal raise cap, short all-in rule or blind amount from this table. Those procedures need the game’s actual rules. For these exercises, no player is all-in and no raise-cap decision occurs. The purpose of the sequence is to stop “third draw” and “third betting round” from becoming interchangeable in your notes.
Six exercises: say the size, the ranks and the winning cards
Read both complete holdings before opening a solution. Write the best counted cards for each player, then decide the winner. The suits are part of the question. An answer that gives only the ranks may conceal an illegal selection. Each exercise is an independent deal, and the last one includes the entire replacement history.
Exercise 1: the extra heart
Mara holds A♥ 4♥ 6♣ 9♦. The spade holds 8♠ 7♦ 3♣ K♣. Both players have reached showdown. Which cards count for each, and who wins?
Show solution 1: compare the two three-card hands
Mara uses A♥ 6♣ 9♦ for a three-card 9-6-A. The 4♥ cannot join the ace of hearts. Choosing 4♥ instead would produce 9-6-4, which is worse than 9-6-A within the same three-card category.
The spade uses 8♠ 7♦ 3♣ for a three-card 8-7-3. K♣ is excluded because the three of clubs is better in that suit. The spade wins at the first rank comparison: eight is lower than nine. Mara’s ace cannot reverse that result.
Exercise 2: different suits do not rescue a pair
Mara holds 2♣ 2♦ 5♥ 8♠. The spade holds A♠ 3♣ 6♦ 6♥. Each holding contains all four suits. Does either player have a four-card Badugi? Find the winner.
Show solution 2: one card from each pair must be left out
Neither player has a four-card Badugi. Mara counts either 2♣ or 2♦ with 5♥ and 8♠, making a three-card 8-5-2. The two deuces cannot both count, even though their suits differ.
The spade counts A♠ 3♣ and either six, making a three-card 6-3-A. It wins because six is lower than eight. The choice between 6♦ and 6♥ does not affect this showdown value; both are compatible with the ace and three. Four distinct suits satisfy only one of the two legality tests.
Exercise 3: the higher club earns its place
Mara holds A♣ 2♣ A♦ 3♥. The spade holds 4♠ 5♦ 7♣ 7♥. A rushed reader gives Mara a two-card 3-A. Check every possible three-card selection and decide whether that reading is correct.
Show solution 3: keep the deuce of clubs with the diamond ace
Mara’s valid three-card selection is 2♣ A♦ 3♥. It produces 3-2-A, so the rushed reading is wrong. The selections A♣ 2♣ A♦ and A♣ 2♣ 3♥ repeat clubs. The selection A♣ A♦ 3♥ repeats aces. Testing all four possible triples exposes the valid one.
The spade can use 4♠ 5♦ with either seven, making 7-5-4. Both players count three cards, and Mara wins because three is lower than seven. The lesson is about evaluating the whole holding. It does not assert that any specific discard is the best strategic choice in every situation.
Exercise 4: an ugly Badugi still has four cards
Mara holds K♣ Q♦ J♥ 10♠. The spade holds A♠ 2♥ 3♦ K♦. They reach showdown without folding. The spade proudly announces the lowest three ranks. Who wins the hand?
Show solution 4: hand size decides before rank
Mara has a complete K-Q-J-10 Badugi. All four ranks and all four suits differ. The spade’s best subset is A♠ 2♥ 3♦, making a three-card 3-2-A. K♦ cannot join 3♦, and using the king instead would worsen the three-card result.
Mara wins. Four counted cards beat three regardless of their ranks. Ace has the best possible three-card rank sequence, but that remains a different hand-size category. Whether Mara should have stood pat earlier is a separate question that this showdown result cannot settle.
Exercise 5: keep comparing after two ties
Mara holds 8♣ 6♦ 4♥ A♠. The spade holds 8♦ 6♠ 3♣ 2♥. Both holdings are complete Badugis. Identify the first comparison that decides the winner.
Show solution 5: the third rank is decisive
Read Mara’s hand as 8-6-4-A and the spade’s as 8-6-3-2. Eight ties eight. Six ties six. At the third rank, the spade’s three is lower than Mara’s four, so the spade wins.
Stop there. The remaining ace and deuce do not overturn an earlier difference. Adding the ranks, counting the low cards, or giving a special bonus to the ace would each produce a different comparison method from the one Badugi uses.
Exercise 6: follow the replacements, then split the tie
Mara starts with A♣ 3♦ 7♥ K♥. The complete draw record is below. The spade holds A♦ 3♥ 5♠ 7♣ throughout and stands pat on all three draws. Both remain to showdown. There is one shared pot of 96 classroom units, with equal eligibility, no side pot, no rake and no odd chip. Read Mara’s hand at every stage, then settle the pot.
| Stage | Discard and replacement | Mara’s complete holding afterwards |
|---|---|---|
| Initial deal | No draw yet | A♣ 3♦ 7♥ K♥ |
| First draw | Discard K♥; receive 7♠ | A♣ 3♦ 7♥ 7♠ |
| Second draw | Discard 7♥; receive 5♥ | A♣ 3♦ 5♥ 7♠ |
| Third draw | Stand pat; replace nothing | A♣ 3♦ 5♥ 7♠ |
Show solution 6: the new suit alone was not enough
Initially Mara has a three-card 7-3-A using A♣ 3♦ 7♥. After the first draw, she still has a three-card 7-3-A. The new 7♠ adds a fourth suit but repeats the seven, so it has not completed a Badugi. Either seven can represent that rank in the best subset.
After the second draw, A♣ 3♦ 5♥ 7♠ is a complete 7-5-3-A Badugi. Mara keeps those four cards through the third draw. Standing pat uses that final draw opportunity without replacing anything; a final betting round still follows.
The spade’s A♦ 3♥ 5♠ 7♣ is also 7-5-3-A. All compared ranks tie, and suits do not break the tie. Each receives 48 of the 96 units. K♥ and 7♥ were discarded and have no role as kickers or extra showdown cards. The final split is 48 + 48 = 96.
A short showdown routine that catches the common mistakes
Keep all four physical cards available for the proper showdown procedure. Read the complete holding before excluding anything from its value. Then write down the number of cards that count, followed by the descending rank sequence. If another player has more counted cards, the comparison is already over. If the sizes match, find the first different rank.
- Check suits and ranks together. One of each suit can still contain a pair.
- Try the alternative subset when conflicts overlap. The lowest card in a suit need not belong to the largest legal set.
- Carry the current holding forward after each draw. Discarded cards cannot reappear in your answer unless they are actually dealt back under the game’s procedures.
- Separate what a player did from what you infer. A zero-card draw records an action; a strong made hand is an interpretation.
- Keep the full format name in your notes. Badugi, Badacey and Badeucy have different game structures; the hybrid names do not authorize importing this four-card, single-pot lesson unchanged.
For a useful review, choose one error at a time. If you missed exercise 3, practice overlapping suit and rank conflicts. If exercise 5 caught you, write every result highest-first until the comparison feels routine. If you awarded the spade exercise 4, return to the hand-size table before working on any betting questions.
The spade’s next invitation is one-card and two-card draw probabilities. Use it to practice stating the target and available cards before doing arithmetic. Its example probabilities are not ready-made Badugi odds: your retained suits, blocked ranks, known discards and draw procedure change what counts as a useful replacement.
To turn a confusing showdown into a repeatable exercise, follow the hand-quiz lesson. Save the complete suits, the draw history and the question before revealing the answer. More study pages are collected in Info & Tools.