Seminar 27Draw & carnival games

Handout 05 · No-limit at the WSOP · Limit elsewhere

Five-card draw

The oldest game on the syllabus and the only one here where the high hand wins. One draw, two betting rounds, nothing on the table to look at.

Cards
Five, all face down
Draws
One
Betting
Two rounds; no-limit in the WSOP mix N1
Forced bets
Blinds (modern) or antes (traditional)
Best hand
Royal flush
Ranking
Standard high poker

1How it is dealt and bet

Each player gets five cards face down. There is a round of betting. Each player still in then discards from none to five cards and receives replacements. There is a second round of betting, and the best five-card high hand wins. B N1

Sources describe different games under one name

PointModern mixed-game formTraditional card-room form
Forced betsButton and blinds BButton and an ante from every player R
Who may openAnyone: "guts to open" BOften "jacks or better": you need at least a pair of jacks to open, and if nobody can, everyone antes again R
BettingNo-limit in the WSOP's dealer's-choice list; N1 limit, with the bet doubling after the draw, in BARGE's version BLimit, doubling after the draw R
JokerBARGE plays with a "bug" that counts only as an ace or to finish a straight or flush, and notes the game is sometimes played without it BCovered in its own section of the rulebook R
Drawing fiveThe WSOP's rules for its five-card split draw games let a player take five cards in a row WFour at once; the fifth comes after everyone else has drawn R

This page assumes the modern form with a plain 52-card deck. A bug changes every number below.

2Hand ranking

The ranking every hold'em player knows, from best to worst: straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, one pair, no pair. The ace is high, and may also be low in the straight 5-4-3-2-A.

Computed
The five cards you are dealt: all 2,598,960 possible hands
DealtHandsShare
No pair1,302,54050.12%
One pair1,098,24042.26%
Two pair123,5524.75%
Three of a kind54,9122.11%
Straight10,2000.39%
Flush5,1080.20%
Full house3,7440.14%
Four of a kind6240.02%
Straight flush400.002%

Our evaluator was run over every one of these deals and reproduces the standard counts exactly, which is also how we test it.

3The draw

Computed
What the draw does (47 unseen, your discards counted as gone)
You keepDrawImproveBroken down
One pair328.7%two pair 16.0%, trips 11.4%, full house 1.0%, quads 0.3%
One pair and an ace kicker225.9%two pair 17.2%, trips 7.8%, full house 0.8%, quads 0.1%
Two pair18.5%full house 8.5%
Three of a kind210.4%full house 6.1%, quads 4.3%
Three of a kind and a kicker18.5%full house 6.4%, quads 2.1%
Four to a flush119.1%9 cards of 47
Open-ended straight draw117.0%8 cards of 47
Inside straight draw18.5%4 cards of 47

Keeping a kicker with a pair costs about three points of improvement and cuts your chance of three of a kind by a third (11.4% down to 7.8%). What it buys is disguise: you drew two, not three.

What a draw count is consistent with

The number of cards a player takes is the only information the rules hand you. It follows from the table above, not from anyone's opinion, that:

4Starting hands

What we could not source. We did not find a published five-card draw strategy that met the standard used on the rest of this site (a named author writing in an established outlet about the modern form of the game), so this section gives only what can be counted. Our solver work does not cover this game either.

Computed

5The key decisions

6Common mistakes

Five-card draw: cheat sheet

Seminar 27 · Handout 05 · high, five cards, one draw

The order of play

Blinds or antes → deal 5 → bet → one draw → bet → showdown. High hand wins.

Ranking, best first

Straight flush · four of a kind · full house · flush · straight · three of a kind · two pair · pair · no pair. A-2-3-4-5 is the lowest straight.

Odds to carry (47 unseen)

KeepDrawImproveTo
Pair328.7%two pair 16.0, trips 11.4, better 1.3
Pair + kicker225.9%two pair 17.2, trips 7.8, better 0.9
Two pair18.5%full house
Trips210.4%full house 6.1, quads 4.3
Four-flush119.1%flush
Open-ended straight117.0%straight
Inside straight18.5%straight
DealtShare
No pair50.1%
One pair42.3%
Two pair or better7.6%

Ask before you sit

Blinds or antes? Jacks or better to open? Is there a joker? Limit or no-limit?

seminar27.com · Odds computed by the site's own script. Rules: BARGE rulebook, Robert's Rules of Poker, WSOP live-action rules. No published strategy or solver baseline is cited for this game. For education.