Seminar 27Draw & carnival games

Handout 06 · Limit · Split pot

Badeucey

Deuce-to-seven triple draw and badugi played at once with the same five cards. Half the pot goes to each, and the ace is a bad card for both.

Cards
Five, all face down
Draws
Three
Betting
Fixed limit, four rounds
Players
Up to six W
Pot
Half to the 2-7 low, half to the badugi
Spelled
Badeucey, Badeucy, Baduci

1How it is dealt and bet

The deal and the betting are those of deuce-to-seven triple draw: five cards, three draws of up to five cards, four betting rounds with the bet doubling after the second. W B C9 At the showdown the pot is cut in two. One half goes to the best five-card deuce-to-seven low. The other goes to the best badugi that can be made from four of the same five cards. One player can win both halves; that is a scoop, and it is the object of the game.

The game arrived at the WSOP in the first dealer's-choice event in 2014 and has been on that list since. N3 N1

2Hand ranking: two hands in one

The low half

Standard deuce-to-seven: ace high, straights and flushes count against you, best hand 7-5-4-3-2.

The badugi half

Standard badugi with one change that every source we read agrees on: the ace is high. The best badugi is 2-3-4-5 of four suits, not A-2-3-4. W B A1 C2 You use the best four of your five cards. As in badugi, if nobody has four cards of four suits, the best three-card hand takes that half.

Together

The best possible hand is 2-3-4-5 in four different suits with any seven: the nut low and the nut badugi at once. W

Sources disagree: the odd chip

When the pot does not divide evenly, the Asian Poker Tour's rules give the odd chip to the deuce-to-seven winner. A1 The WSOP's rules say that in a split between two low hands the odd chip goes by position, to the first player clockwise from the button. W It is one chip, but it is a different player.

3The draws, step by step

Two example hands, each drawing one card.

Computed
One-card draws, 47 unseen, discard counted
You keepYou are drawing toCards that hit1 left2 left3 left
2♣3♦4♥7♠
badugi already made
An eight low or better1225.5%45.0%59.6%
2♣3♦4♥7♥
three-card badugi
A badugi1123.4%41.7%56.0%
An eight low or better1225.5%45.0%59.6%
Both with the same card36.4%12.5%18.3%

The first hand already owns a seven-high badugi and has twelve cards to add a strong low: it is drawing to scoop while holding a made hand for half. The second hand needs a spade for the badugi and a 5, 6 or 8 for the low, and only three cards (the 5, 6 and 8 of spades) do both jobs at once. Four suits among your low cards is what the difference between these two hands is made of.

4Starting hands

Published

No solver baseline for this game. Our solver work covers single-pot triple-draw games. Nothing here comes from it.

5The key decision on each draw

Published
Computed

Why half a pot is worth less than it sounds: with two players in, winning one half and losing the other returns your own money, leaving aside the blinds and any rake. You profit only when you scoop, or when three or more players have paid in.

6Common mistakes

Badeucey: cheat sheet

Seminar 27 · Handout 06 · limit, five cards, three draws, split pot

The order of play

Deal 5 → bet (small) → draw → bet (small) → draw → bet (big) → draw → bet (big) → showdown → split.

Two rankings, one hand

Odds to carry (one-card draws, 47 unseen)

KeepToHits1 left2 left3 left
2-3-4-7, four suits8 low or better1225.5%45.0%59.6%
2-3-4-7, three suitsa badugi1123.4%41.7%56.0%
2-3-4-7, three suitsboth at once36.4%12.5%18.3%

Published rules of thumb

Ask before you sit

Who gets the odd chip? (Rule sets differ.)

seminar27.com · Odds computed by the site's own script. Rules: WSOP live-action rules, BARGE rulebook, Asian Poker Tour handbook. No solver baseline for this game. For education.