Seminar 27Draw & carnival games

Handout 07 · Limit · Split pot

Badacey

Ace-to-five triple draw and badugi with the same five cards. Here the ace is the best card in the deck for both halves, which makes it a very different game from its sibling.

Cards
Five, all face down
Draws
Three
Betting
Fixed limit, four rounds
Players
Up to six W
Pot
Half to the A-5 low, half to the badugi
Spelled
Badacey, Badacy, Badaci

1How it is dealt and bet

As in every triple-draw game on this site: five cards, three draws of up to five cards, four betting rounds, the bet doubling after the second. W B At the showdown half the pot goes to the best five-card ace-to-five low and half to the best badugi made from four of the same five cards. W B C2

Like Badeucey, it made its WSOP debut in the 2014 dealer's-choice event and remains on that list. N3 N1

2Hand ranking: two hands in one

The low half

Ace-to-five: aces low, straights and flushes ignored, best hand 5-4-3-2-A. W

The badugi half

Ordinary badugi, ace low: the best is A-2-3-4 of four suits. W B You use the best four of your five cards, and if nobody has four cards of four suits the best three-card hand takes that half.

Together

The best possible hand is A-2-3-4 in four different suits with any five. W Unlike Badeucey, the nut low here is a straight, and it does not matter.

The WSOP's rules phrase the split as "most commonly" badugi against ace-to-five, which leaves room for a house to do otherwise. W We found no source describing a different split for this game. Odd chip: under the WSOP's rule for a split between two low hands, it goes by position, clockwise from the button. W

3The draws, step by step

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

The pattern is the same as in Badeucey: plenty of cards finish one half, and very few finish both at once. Here those three are the 4, 6 and 7 of spades.

4Starting hands

Published
Computed

Why standards rise: a pat eight or better is dealt 2.21% of the time under ace-to-five ranking and 0.71% under deuce-to-seven. Low hands are about three times as common under this ranking.

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

As in every two-way game: heads-up, winning one half and losing the other returns your own money, leaving aside the blinds and any rake. The profit is in the scoop.

6Common mistakes

Badacey: cheat sheet

Seminar 27 · Handout 07 · 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

Badeucey or Badacey?

BadeuceyBadacey
AceHigh, both halvesLow, both halves
Straights, flushesRuin the lowIgnored
Nut badugi5-4-3-24-3-2-A
Nut low7-5-4-3-25-4-3-2-A

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

Keep A-2-3-5, three suits, toHits1 left2 left3 left
A badugi1123.4%41.7%56.0%
A seven low or better1225.5%45.0%59.6%
Both at once36.4%12.5%18.3%

Published rules of thumb

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