Poker Texas Holdem 3

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Poker Texas Holdem 3 Average ratng: 7,8/10 4868 votes

However, there are 1,326 different starting poker hands in Texas Holdem, and even 270,725 poker hand variations in Pot Limit Omaha. While there are many different starting hands options in various games, the winning hand is determined by poker hand rankings consisting only of 10 options. I first found 3 Card Hold 'Em at the Golden Nugget in Las Vegas on May 8, 2012. It is an easy poker-based game against the dealer where the better 3-card hand wins out of five cards. There are two decision points as the hand progresses. At the time, the game was marketed by (the now defunct) Gaming Network.

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The games are intended for an adult audience. The games do not offer 'real money gambling' or an opportunity to win real money or prizes. Practice or success at social casino gaming does not imply future success at 'real money gambling.'

Texas

Introduction

I first found 3 Card Hold 'Em at the Golden Nugget in Las Vegas on May 8, 2012. It is an easy poker-based game against the dealer where the better 3-card hand wins out of five cards. There are two decision points as the hand progresses. At the time, the game was marketed by (the now defunct) Gaming Network.

Rules

  1. The game is played using one standard 52-card deck.
  2. The game uses the same hand-ranking system as Three Card Poker. The following list shows all hands in descending rank order:
    • Straight Flush
    • Three of a Kind
    • Straight
    • Flush
    • Pair
    • High Card Hand
  3. To begin, the player makes an Ante Bet. The player may also place an optional wager on the Pair or Suited side bet and/or the Straight or Up side bet.
  4. The dealer deals two cards face down to the player and to himself. The dealer deals to the table, one community card face up and two community cards face down.
  5. The player examines his cards and must either fold, forfeiting his Ante, or make a Raise Bet equal to his Ante.
  6. The dealer reveals the second community card. The player may either check (and make no further bets) or make a second Raise Bet equal to his Ante.
  7. The dealer reveals the third community card and turns over his two pocket cards. Both the player and the dealer make their best three-card poker hand using any combination of pocket cards and community cards, including playing the board (using the three community cards only).
  8. The dealer compares his hand to the player's hand. If the dealer's hand beats the player's hand, then the player loses his Ante and Raise bets. If the dealer's hand ties the player's hand, the player's Ante and Raise bets push. Otherwise, if the player's hand beats the dealer's hand:
    • If the dealer's hand is less than a pair of fours, the player's Raise Bet(s) are paid 1 to 1 and the Ante is a push.
    • If the dealer's hand is a pair of fours or better, the player's Ante and Raise Bet(s) are paid 1 to 1.
  9. The outcome of the Ante Bet has no bearing on the side bets. If the player folds, the side bets remain in action.

Ante Bet Analysis

The following table shows the Ante Bet analysis results. The bottom left cell shows the house edge of 3.05%.

Ante Bet Analysis

OutcomeBetNetCombinationsProbabilityReturn
Player folds1-14,027,339,0080.023891-0.023891
Player wins, dealer does not qualify2115,620,419,5900.0926650.092665
Player wins, dealer qualifies2215,206,619,9430.090210.180421
Tie208,836,574,7660.0524210
Dealer wins2-255,470,179,8610.329066-0.658132
Player wins, dealer does not qualify3216,245,165,7380.0963710.192743
Player wins, dealer qualifies3329,906,480,2490.1774140.532243
Tie303,783,744,0660.0224460
Dealer wins3-319,472,022,3790.115514-0.346542
Total168,568,545,6001-0.030494
  • With an average bet size of 2.3879, the game's element of risk is 1.28%.
  • The player will fold 2.39% of the time.
  • The player will raise twice (make two Raise Bets) 41.17% of the time.
  • The player will raise and check (make one Raise Bet only) 56.44% of the time.

Strategy

A basic strategy for the first playing decision is provided below.
Raise or Fold Basic Strategy
You should raise with any of the following:
  1. A pocket 10, jack, queen, king, or ace
  2. A pair
  3. Two to a flush
  4. Two to a straight, inside or outside
The pair, flush, and straight hands may use the first community card.
Assuming optimal play at the second decision point, the strategy above increases the house edge by 0.02%.

Discount Gambling provides a playing strategy that includes the second decision (whether to raise or check after the second community card is revealed).

Pair or Suited - 2 Card Side Bet

Pair or Suited is a side bet that pays based on the player's first two dealt cards only. The following table shows what each hand pays, the probability, and contribution to the return. The lower right cell reflects a house edge of 4.83%.

Pair Or Suited Analysis

HandPays (to 1)CombinationsProbabilityFrequencyReturn
AK Suited3040.0030171 in 3320.090498
AA2060.0045251 in 2210.090498
KK1060.0045251 in 2210.045249
22-QQ4660.0497741 in 200.199095
2 Suited Cards13080.2322781 in 4.30.232278
Other-19360.7058821 in 1.4-0.705882
Total13261.000000-0.048265

Straight Or Up - 3-Card Side Bet

Straight Or Up is a side bet that pays based on the best three of the player's five cards (except “AKQ suited plus a pair” which requires all 5 cards).

The following table shows the bet's pay table and the analysis results. The lower right cell of the table below shows a house edge of 4.49%.

Straight or Up Analysis

HandPays (to 1)CombinationsProbabilityFrequencyReturn
AKQ Suited plus a Pair1002760.0001061 in 94170.010620
AKQ Suited4044280.0017041 in 5870.068150
Straight Flush1049,6280.0190951 in 520.190953
Three of a Kind958,8480.0226431 in 440.203786
Straight1569,2680.2190371 in 4.60.219037
Flush-1708,6880.2726811 in 3.7-0.272681
Pair-1699,6240.2691941 in 3.7-0.269194
Other-1508,2000.1955401 in 5.1-0.195540
Total2,598,9601.000000-0.044869

Rack Card

Poker Texas Holdem 3

Click on either image for a larger version.

Acknowledgement

I would like to thank Gaming Network for sharing their math report, by Stanley Ko, with me for use in creating this page.

External Links

Texas Holdem Poker Free Games

Discount Gambling has a page on 3 Card Hold 'Em, including a playing strategy.


Wsop Texas Holdem Poker

Written by:Michael Shackleford