Texas Holdem Online Two Players

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Introduction

The objective of Texas Hold'Em is very clear: have the best five-card poker hand at the end of the game. Meeting the objective, however, is extremely challenging. In Texas Hold'Em, each player is dealt two private cards, and all players share five community cards. Community cards are the X factor in Texas Hold'Em. They are revealed slowly. One of the best of these games is Ultimate Texas Hold’em, which allows players to win big on every hand – if they’re willing to commit themselves early on. Ultimate Texas Hold’em is a table game that pits the player against the dealer in a one-on-one poker matchup.

This page examines the probabilities of each final hand of an arbitrary player, referred to as player two, given the poker value of the hand of the other player, referred to as player one. Combinations shown are out of a possible combin(52,5)×combin(47,2)×combin(45,2) = 2,781,381,002,400. The primary reason for this page was to assist with bad beat probabilities in a two-player game, for example the Bad Beat Bonus in Ultimate Texas Hold 'Em.

For example, if you wish to know the probability of a particular player getting a full house and losing to a four of a kind, we can see from table 7 that there are 966,835,584 such combinations. The same table shows us that given that player one has a full house, the probability of losing to a four of a kind is 0.013390. To get the probability before any cards are dealt, divide 966,835,584 by the total possible combinations of 2,781,381,002,400, which yields 0.0002403.

Table 1 shows the number of combinations for each hand of a second player, given that the first player has less than a pair.

Table 1 — First Player has Less than Pair

Event	Pays	Probability
Less than pair	164,934,908,760	0.340569
Pair	228,994,769,160	0.472845
Two pair	43,652,558,880	0.090137
Three of a kind	7,303,757,580	0.015081
Straight	26,248,866,180	0.054201
Flush	13,060,678,788	0.026969
Full house	-	0.000000
Four of a kind	-	0.000000
Straight flush	85,751,460	0.000177
Royal flush	10,532,592	0.000022
Total	484,291,823,400	1.000000

Table 2 shows the number of combinations for each hand of a second player, given that the first player has a pair.

Table 2 — First Player has a Pair

Event	Pays	Probability
Less than pair	228,994,769,160	0.187874
Pair	574,484,133,960	0.471324
Two pair	270,127,833,552	0.221621
Three of a kind	47,736,401,832	0.039164
Straight	50,797,137,096	0.041676
Flush	30,076,271,352	0.024675
Full house	15,829,506,000	0.012987
Four of a kind	586,278,000	0.000481
Straight flush	214,250,184	0.000176
Royal flush	25,380,864	0.000021
Total	1,218,871,962,000	1.000000

Table 3 shows the number of combinations for each hand of a second player, given that the first player has a two pair.

Table 3 — First Player has a Two Pair

Event	Pays	Probability
Less than pair	43,652,558,880	0.066798
Pair	270,127,833,552	0.413355
Two pair	246,286,292,328	0.376872
Three of a kind	31,155,189,408	0.047674
Straight	18,549,991,152	0.028386
Flush	14,200,694,712	0.021730
Full house	28,751,944,680	0.043997
Four of a kind	653,378,400	0.001000
Straight flush	109,829,304	0.000168
Royal flush	12,673,584	0.000019
Total	653,500,386,000	1.000000

Table 4 shows the number of combinations for each hand of a second player, given that the first player has a three of a kind.

Table 4 — First Player has a Three of a Kind

Event	Pays	Probability
Less than pair	7,303,757,580	0.054369
Pair	47,736,401,832	0.355348
Two pair	31,155,189,408	0.231918
Three of a kind	27,586,332,384	0.205352
Straight	3,310,535,196	0.024643
Flush	2,606,403,900	0.019402
Full house	12,910,316,760	0.096104
Four of a kind	1,705,867,680	0.012698
Straight flush	19,970,844	0.000149
Royal flush	2,304,216	0.000017
Total	134,337,079,800	1.000000

Table 5 shows the number of combinations for each hand of a second player, given that the first player has a straight.

Table 5 — First Player has a Straight

Event	Pays	Probability
Less than pair	26,248,866,180	0.204299
Pair	50,797,137,096	0.395362
Two pair	18,549,991,152	0.144377
Three of a kind	3,310,535,196	0.025766
Straight	25,219,094,136	0.196284
Flush	3,229,836,828	0.025138
Full house	975,510,000	0.007593
Four of a kind	43,198,800	0.000336
Straight flush	98,961,348	0.000770
Royal flush	9,485,064	0.000074
Total	128,482,615,800	1.000000

Table 6 shows the number of combinations for each hand of a second player, given that the first player has a flush.

Table 6 — First Player has a Flush

Event	Pays	Probability
Less than pair	13,060,678,788	0.155206
Pair	30,076,271,352	0.357410
Two pair	14,200,694,712	0.168754
Three of a kind	2,606,403,900	0.030973
Straight	3,229,836,828	0.038382
Flush	19,608,838,592	0.233021
Full house	1,102,206,960	0.013098
Four of a kind	50,221,200	0.000597
Straight flush	191,762,164	0.002279
Royal flush	23,604,264	0.000281
Total	84,150,518,760	1.000000

Table 7 shows the number of combinations for each hand of a second player, given that the first player has a full house.

Table 7 — First Player has a Full House

Event	Pays	Probability
Less than pair	-	0.000000
Pair	15,829,506,000	0.219222
Two pair	28,751,944,680	0.398185
Three of a kind	12,910,316,760	0.178795
Straight	975,510,000	0.013510
Flush	1,102,206,960	0.015264
Full house	11,661,414,336	0.161499
Four of a kind	966,835,584	0.013390
Straight flush	8,767,440	0.000121
Royal flush	993,600	0.000014
Total	72,207,495,360	1.000000

Table 8 shows the number of combinations for each hand of a second player, given that the first player has a four of a kind.

Table 8 — First Player has a Four of a Kind

Event	Pays	Probability
Less than pair	-	0.000000
Pair	586,278,000	0.125418
Two pair	653,378,400	0.139772
Three of a kind	1,705,867,680	0.364923
Straight	43,198,800	0.009241
Flush	50,221,200	0.010743
Full house	966,835,584	0.206828
Four of a kind	668,375,136	0.142980
Straight flush	390,960	0.000084
Royal flush	44,160	0.000009
Total	4,674,589,920	1.000000

Table 9 shows the number of combinations for each hand of a second player, given that the first player has a straight flush.

Table 9 — First Player has a Straight Flush

Event	Pays	Probability
Less than pair	85,751,460	0.110699
Pair	214,250,184	0.276582
Two pair	109,829,304	0.141782
Three of a kind	19,970,844	0.025781
Straight	98,961,348	0.127752
Flush	191,762,164	0.247552
Full house	8,767,440	0.011318
Four of a kind	390,960	0.000505
Straight flush	44,354,840	0.057259
Royal flush	596,856	0.000770
Total	774,635,400	1.000000

Table 10 shows the number of combinations for each hand of a second player, given that the first player has a royal flush.

Table 10 — First Player has a Royal Flush

Event	Pays	Probability
Less than pair	10,532,592	0.117164
Pair	25,380,864	0.282336
Two pair	12,673,584	0.140981
Three of a kind	2,304,216	0.025632
Straight	9,485,064	0.105512
Flush	23,604,264	0.262573
Full house	993,600	0.011053
Four of a kind	44,160	0.000491
Straight flush	596,856	0.006639
Royal flush	4,280,760	0.047619
Total	89,895,960	1.000000

The following table shows the number of combinations for each hand of player 1 by the winner of the hand.

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Table 11 — Winning Player by Hand of Player 1 — Combinations

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Player 1	Win	Tie	Loss
Less than pair	76,626,795,600	11,681,317,560	395,983,710,240	484,291,823,400
Pair	496,857,988,764	38,757,694,752	683,256,278,484	1,218,871,962,000
Two pair	419,896,266,012	34,054,545,168	199,549,574,820	653,500,386,000
Three of a kind	97,664,829,948	4,647,370,128	32,024,879,724	134,337,079,800
Straight	103,685,076,072	15,662,001,240	9,135,538,488	128,482,615,800
Flush	71,523,195,288	2,910,219,176	9,717,104,296	84,150,518,760
Full house	62,810,500,464	5,179,382,208	4,217,612,688	72,207,495,360
Four of a kind	4,240,864,800	198,204,864	235,520,256	4,674,589,920
Straight flush	734,237,144	35,247,960	5,150,296	774,635,400
Royal flush	85,615,200	4,280,760	-	89,895,960
Total	1,334,125,369,292	113,130,263,816	1,334,125,369,292	2,781,381,002,400

The following table shows the probability for each hand of player 1 by the winner of the hand. The bottom row shows that each player has a 47.97% chance of winning and a 4.07% chance of a tie.

Table 12 — Winning Player by Hand of Player 1 — Probabilities

Player 1 Hand	Player 1	Tie	Player 2	Total
Less than pair	0.027550	0.004200	0.142369	0.174119
Pair	0.178637	0.013935	0.245654	0.438225
Two pair	0.150967	0.012244	0.071745	0.234955
Three of a kind	0.035114	0.001671	0.011514	0.048299
Straight	0.037278	0.005631	0.003285	0.046194
Flush	0.025715	0.001046	0.003494	0.030255
Full house	0.022582	0.001862	0.001516	0.025961
Four of a kind	0.001525	0.000071	0.000085	0.001681
Straight flush	0.000264	0.000013	0.000002	0.000279
Royal flush	0.000031	0.000002	0.000000	0.000032
Total	0.479663	0.040674	0.479663	1.000000

Written by: Michael Shackleford

WSOP – Texas Holdem is an online room for playing poker against real opponents. There’s no need to download WSOP – Texas Holdem to your PC, as you can play with Facebook Gameroom or with your browser. But if you want to play it on your mobile, there is an app for that.

Graphics 8/10

Unlike online casinos offering slot machines too bright and colorful, WSOP looks moderate and stylish, This sort of game is a noble one, so the design is noble too. Deep blue hi-tech background highlights the green tables. The cards are small, but well readable. So are player profiles and the dealer’s comments. Though the screen space could have been redistributed to give more of it to the table, the game still looks good.

Sound 7/10

Thank you for no music! The developers realize that poker requires concentration, so there are only sounds that indicate game events. They are easily distinguishable, so even you look away from the screen, sounds will tell you what’s going on. And if you like music, you can turn on anything you like, but use an external player, please.

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Gameplay 9/10

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The way you play is similar to most online poker rooms. As you enter, you join a random game with random opponents and wait until the new round starts. Then you get dealt like others and join the game immediately. Like a decent poker room should, WSOP offers various rooms, with different bet limits.

The rules of the game are well known enough not to recollect them in this WSOP Texas Holdem review. It’s enough to say that the app offers both Texas Holdem and Omaha. You are supposed to know the rules, but there is still some assistance; for example, the combination you get is displayed directly to save your efforts.

As you register, you get 1 million chips. But it’s not as much as it seems, the minimal buy-in being 50.000. You can count on daily bonuses and giveaways, but if you’re not sure you’ll win, you better support yourself with investments. No matter if you’re training here before entering real poker rooms with real bets and money withdrawal, or you’re just having fun this way. The investments will bring you some good time, and the skill can replace the investments.

Lasting Appeal 10/10

When speaking of such projects, we, first of all, mean the original game they’re drawn upon. And this time it’s one of the most popular card games mankind ever knew. So the app will be popular as long as it exists, we guess. It doesn’t take long to launch or join, and it’s always just one click away.

The Verdict

It’s a decent poker game, the one that satisfies all the requirements. You cannot withdraw your funds from there, but it’s an entertaining project, so if you want to make real bets, there are other rooms. This one is for pure fun, and if you like it, you can download WSOP – Texas Holdem to your mobile or Facebook Gameroom.

Pros:

Texas Holdem and Omaha tables;
Lots of players online at any given time;
Moderate interface;
Good sounds and no music.

Cons:

You can run out of chips soon;
If you like playing poker IRL, you’ll miss psychological nuances while playing online.