4 Card Poker Rules

Five-card draw (also known as a Cantrell draw) is a pokervariant that is considered the simplest variant of poker, and is the basis for video poker. As a result, it is often the first variant learned by new players. It is commonly played in home games but rarely played in casino and tournament play. The variant is also offered by some online venues, although it is not as popular as other variants such as seven-card stud and Texas hold 'em.

Gameplay[edit]

How to Play 5-Card Draw Poker. If you have played any other form of poker, 5-card draw rules are similar in that the aim of the game is to make the best five-card poker hand.

  1. Just like in Three Card Poker, Four Card Poker rules require all players to place an ante wager and an optional Aces Up wager before dealing can begin. Dealing After all initial wagers are placed, each player, along with the dealer, is dealt five face down cards each.
  2. If you already know Texas Hold'em Poker Rules, you know how to run and play a game of Omaha more or less.So let's get started! How to Play Omaha Poker in 20 Easy Steps 1. Two Differences between Hold'em and Omaha. Every player gets four cards in Omaha (instead of two in Hold'em).

In casino play the first betting round begins with the player to the left of the big blind, and subsequent rounds begin with the player to the dealer's left. Home games typically use an ante; the first betting round begins with the player to the dealer's left, and the second round begins with the player who opened the first round.

Play begins with each player being dealt five cards, one at a time, all face down. The remaining deck is placed aside, often protected by placing a chip or other marker on it. Players pick up the cards and hold them in their hands, being careful to keep them concealed from the other players, then a round of betting occurs.

If more than one player remains after the first round, the 'draw' phase begins. Each player specifies how many of their cards they wish to replace and discards them. The deck is retrieved, and each player is dealt in turn from the deck the same number of cards they discarded so that each player again has five cards.

A second 'after the draw' betting round occurs beginning with the player to the dealer's left or else beginning with the player who opened the first round (the latter is common when antes are used instead of blinds). This is followed by a showdown, if more than one player remains, in which the player with the best hand wins the pot.

House rules[edit]

A common 'house rule' in some places is that a player may not replace more than three cards, unless they draw four cards while keeping an ace (or wild card). This rule is useful for low-stakes social games where many players will stay for the draw, and will help avoid depletion of the deck. In more serious games such as those played in casinos it is unnecessary and generally not used. However, a rule used by many casinos is that a player is not allowed to draw five consecutive cards from the deck. In this case, if a player wishes to replace all five of their cards, that player is given four of them in turn, the other players are given their draws, and then the dealer returns to that player to give the fifth replacement card; if no other player draws it is necessary to deal a burn card first.

Another common house rule is that the bottom card of the deck is never given as a replacement, to avoid the possibility of someone who might have seen it during the deal using that information. If the deck is depleted during the draw before all players have received their replacements, the last players can receive cards chosen randomly from among those discarded by previous players. For example, if the last player to draw wants three replacements but there are only two cards remaining in the deck, the dealer gives the player the one top card he can give, then shuffles together the bottom card of the deck, the burn card, and the earlier players' discards (but not the player's own discards), and finally deals two more replacements to the last player.

Sample deal[edit]

The sample deal is being played by four players as shown to the right with Alice dealing. All four players ante $1. Alice deals five cards to each player and places the deck aside.

Bob opens the betting round by betting $5. Carol folds, David calls, and Alice calls, closing the betting round.

Bob now declares that he wishes to replace three of his cards, so he removes those three cards from his hand and discards them. Alice retrieves the deck, deals a burn card, then deals three cards directly to Bob, who puts them in his hand. David discards one card, and Alice deals one card to him from the deck. Alice now discards three of her own cards, and replaces them with three from the top of the deck (Note: in a player-dealt casino game there is often a rule that the dealer must discard before picking up the deck, but this is a home game so we won't worry about such details).

Now a second betting round begins. Bob checks, David checks, Alice bets $10, Bob folds, David raises $16, and Alice calls, ending the second betting round and going directly into a showdown. David shows a flush, and Alice shows two pair, so David takes the pot.

Stripped deck variant[edit]

Five-card draw is sometimes played with a stripped deck. This variant is commonly known as 'seven-to-ace' or 'ace-to-seven' (abbreviated as A-7 or 7-A). It can be played by up to five players. When four or fewer players play, a normal 32-card deck without jokers, with ranks ranging from ace to seven, is used. With five players, the sixes are added to make a 36-card deck. The deck thus contains only eight or nine different card ranks, compared to 13 in a standard deck. This affects the probabilities of making specific hands, so a flush ranks above a full house and below four of a kind. Many smaller online poker rooms, such as Boss Media, spread the variant, although it is unheard of in land casinos.

Math of Five-card draw[edit]

Pre-draw odds of getting each hand
  • Royal flush <0.001%
  • Straight flush (not including royal flush) <0.002%
  • Four of a kind 0.02%
  • Full house 0.14%
  • Flush (excluding royal flush and straight flush) 0.20%
  • Straight (excluding royal flush and straight flush) 0.39%
  • Three of a kind 2.11%
  • Two pair 4.75%
  • One pair 42.30%
  • No pair / High card 50.10%

See also[edit]

External links[edit]

Retrieved from 'https://en.wikipedia.org/w/index.php?title=Five-card_draw&oldid=930414493'

Wizard Recommends

Poker

Rules Of 4 Card Poker

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Introduction

Crazy 4 Poker is a poker variation invented by Roger Snow and is marketed by Shufflemaster. It has been around since about 2004 and one of the more successful poker-based casino games.

Rules

  1. Play starts with the player making equal bets on the Ante and Super Bonus. The player may also bet on the Queens Up side bet at this time.
  2. Following is the ranking of hands from highest to lowest:
    • Four of a kind.
    • Straight flush
    • Three of a kind
    • Flush
    • Straight
    • Two pair
    • Pair
    • Four singletons
  3. All player and dealer get five cards each.
  4. The player decides to fold or raise by making a Play wager.
  5. If the player folds he forfeits all bets.
  6. The Play bet may be up to three times the Ante bet if the player has at least a pair of aces. Otherwise, the Play bet must be exactly equal to the Ante bet.
  7. Players make their best four-card poker hand, and discard the fifth card.
  8. After all decisions have been made, the dealer will turn over his cards and select the best four out of five.
  9. The player's hand shall be compared to the dealer's hand, the higher hand winning.
  10. For purposes of the Ante bet only, the dealer needs at least a king high to open.
  11. The Ante bet pays as follows:
    • Dealer does not open: Ante pushes.
    • Dealer opens and player wins: Ante wins.
    • Dealer opens and ties: Ante pushes.
    • Dealer opens and wins: Ante loses.
  12. The Play bet pays as follows:
    • Dealer does not open: Play wins.
    • Dealer opens and player wins: Play wins.
    • Dealer opens and ties player: Play pushes.
    • Dealer opens and wins: Play loses.
  13. The Super Bonus bet pays as follows. It is not pertinent whether or not the dealer opens.
    • Player has straight or higher (beating dealer not required): Super Bonus wins according to pay table below.
    • Player has less than straight and wins or pushes: Super Bonus pushes.
    • Player has less than straight and loses: Super Bonus loses.

Super Bonus Pay Table

Player HandPays
Four aces200
Four 2-K30
Straight flush15
Three of a kind2
Flush1.5
Straight1

Strategy

Optimal strategy would be tedious and complicated memorize. However, the player can get extremely close to it with this simple strategy. Follow the first rule to apply.

Four card poker rules
  1. Make large raise when allowed (with pair of aces or higher).
  2. Make small raise with K-Q-8-4 or higher.
  3. Fold all other.

The increase in house edge with the KQ84 strategy, compared to optimal, is 0.000089%.

Analysis

The next table shows the return of the Ante bet under optimal player strategy.

Ante Bet

EventPaysCombinationsProbabilityReturn
Win11,415,369,375,1480.3550280.355028
Push0473,003,972,8920.1186470.000000
Loss-12,098,272,755,4000.526325-0.526325
Total3,986,646,103,4401.000000-0.171298

The next table shows the return of the Play bet under optimal player strategy. A win of 0 also includes folding, in which case a raise bet was never made.

Raise Bet

WinCombinationsProbabilityReturn
3671,609,661,9480.1684650.505394
11,215,649,215,6840.3049300.304930
0938,265,298,8240.2353520.000000
-11,093,014,959,1960.274169-0.274169
-368,106,967,7880.017084-0.051251
Total3,986,646,103,4401.0000000.484904

The next table shows the return of the Super Bonus bet under optimal player strategy.

Super Bonus Bet

EventPaysCombinationsProbabilityReturn
Four aces20073,629,0720.0000180.003694
Four 2-K30883,548,8640.0002220.006649
Straight flush153,178,321,6080.0007970.011959
Three of a kind289,974,725,9840.0225690.045138
Flush1.5175,813,952,4240.0441010.066151
Straight1156,167,261,7120.0391730.039173
Push01,485,273,310,1400.3725620.000000
Loss-12,075,281,353,6360.520558-0.520558
Total3,986,646,103,4401.000000-0.347795

The next table summarizes the Ante, Play, and Super Bonus bets. The sum shows the player can expect to lose 3.48% for every hand played, compared to the size of his Ante (or Super Bonus) bet. For example, if the player started with $10 on both the Ante and Super Bonus, then he could expect to lose 34.8¢, assuming optimal strategy.

Summary

BetReturn
Ante-0.171298
Raise0.484904
Super Bonus-0.347795
Total-0.034189

The next table shows the net overall win between the Ante, Play, and Super Bonus under optimal player strategy.

Net Win

WinCombinationsProbabilityReturn
20456,580,4320.0000140.002895
20317,048,6400.0000040.000868
34764,060,8080.0001920.006516
33119,340,4800.0000300.000988
26147,5760.0000000.000001
192,708,500,2160.0006790.012908
18467,451,2040.0001170.002111
15239,5440.0000000.000001
112,130,6440.0000010.000006
675,428,689,4240.0189200.113522
5.5140,729,630,9760.0353000.194151
5132,528,726,0360.0332430.166216
4.526,782,817,4360.0067180.030232
4240,544,812,5160.0603380.241351
351,462,003,7800.0129090.038726
2859,165,302,4440.2155110.431022
1.511,157,3840.0000030.000004
1356,744,817,3360.0894850.089485
0842,169,3840.0002110.000000
-2938,364,828,4960.235377-0.470754
-2.58,290,346,6280.002080-0.005199
-31,106,499,736,0320.277552-0.832655
-545,115,566,0240.011317-0.056583
Total3,986,646,103,4401.000000-0.034189

The bottom right cell of the table above shows a house edge of 3.42%. This is the ratio of the expected player loss to the Ante bet. One might argue that since the Super Bonus bet is required I define the house edge as the expected loss to the sum of the required starting bets. However, in the interests of consistency with how the term is defined in other games, I choose to base the house edge on the Ante only. So, for every $100 you bet on the Ante you can expect to lose $3.42 between the Ante, Raise, and Super Bonus combined.

4 Card Poker Rules And Payouts

The standard deviation is 3.13, based on the Ante bet.

Overall the player has a 18.56% chance of making a big raise, 57.93% for a small raise, and 23.51% for folding, for an average final wager of 3.14 units. Thus, the element of risk of the game (ratio of expected loss to average total bet) is 3.42%/3.14 = 1.09%.

Queens Up

As far as I know, there are four pay tables available for the Queens Up, according to the choice of casino management. Most Las Vegas casinos use pay table 4.

Queens Up Pay Tables

Crazy 4 Card Poker Rules

Player HandPay Table 1Pay Table 2Pay Table 3Pay Table 4
Four of a kind50 to 150 to 150 to 150 to 1
Straight flush30 to 140 to 130 to 140 to 1
Three of a kind9 to 18 to 18 to 17 to 1
Flush4 to 14 to 14 to 14 to 1
Straight3 to 13 to 13 to 13 to 1
Two pair2 to 12 to 12 to 12 to 1
Pair of queens or better1 to 11 to 11 to 11 to 1

Queens Up — Pay Table 1

EventPaysCombinationsProbabilityReturn
Four of a kind506240.0002400.012005
Straight flush302,0720.0007970.023917
Three of a kind958,6560.0225690.203121
Flush4114,6160.0441010.176403
Straight3101,8080.0391730.117518
Two pair2123,5520.0475390.095078
Pair of Qs to As1242,9160.0934670.093467
Loser-11,954,7160.752115-0.752115
Total2,598,9601.000000-0.030606

Queens Up — Pay Table 2

EventPaysCombinationsProbabilityReturn
Four of a kind506240.0002400.012005
Straight flush402,0720.0007970.031890
Three of a kind858,6560.0225690.180552
Flush4114,6160.0441010.176403
Straight3101,8080.0391730.117518
Two pair2123,5520.0475390.095078
Pair of Qs to As1242,9160.0934670.093467
Loser-11,954,7160.752115-0.752115
Total2,598,9601.000000-0.045203

Queens Up — Pay Table 3

EventPaysCombinationsProbabilityReturn
Four of a kind506240.0002400.012005
Straight flush302,0720.0007970.023917
Three of a kind858,6560.0225690.180552
Flush4114,6160.0441010.176403
Straight3101,8080.0391730.117518
Two pair2123,5520.0475390.095078
Pair of Qs to As1242,9160.0934670.093467
Loser-11,954,7160.752115-0.752115
Total2,598,9601.000000-0.053175

Queens Up — Pay Table 4

EventPaysCombinationsProbabilityReturn
Four of a kind506240.0002400.012005
Straight flush402,0720.0007970.031890
Three of a kind758,6560.0225690.157983
Flush4114,6160.0441010.176403
Straight3101,8080.0391730.117518
Two pair2123,5520.0475390.095078
Pair of Qs to As1242,9160.0934670.093467
Loser-11,954,7160.752115-0.752115
Total2,598,9601.000000-0.067772

6-Card Bonus

Some casinos add on a side bet known as the 6-Card Bonus. This side bet is found on multiple poker-derivative games, so I created a special page for it. For more information, please see my page on the 6-Card Bonus.

Millionaire Progressive

This is a $5 'red light' progressive side bet that pays $1,000,000 for a royal flush in spades, using the player's five cards. For all the rules and analysis, please see my page on the Millionaire Progressive.

Before you play for real money, practice your Crazy 4 Poker game right here.

Crazy 4 Card Poker Rules

Internal Links

Four Card Poker Casino Rules


There is also a similar game called Four Card Poker.

External Links

Three Card Poker Bonus Payout

Shufflemaster's official web site for Crazy 4 Poker.