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Texas Hold'em Poker Probability/Statistics for Single Hand After the Flop

In this section we will be demonstrating the possible outcomes of a hand in Texas Hold'Em after the flop. We will run through the various possible scenarios the player may have.

Scenario 1

In this scenario we will be examining the possible outcomes when a player already has a pair.

A S7 D   2 SA C3 DBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind0.0925%0%0%0%0%0%0.0925%0.0925%
Full House1.6651%0%0%0%0%0.8326%2.4977%2.5902%
Flush0%0%0%0%0%0%0%2.5902%
Straight0%0%0%0%0%1.4801%1.4801%4.0703%
Three of a Kind6.6605%0%0%0%0%0%6.6605%10.7308%
Two Pairs37.4653%0%0%0%0%0%37.4653%48.1961%
Single Pair51.8039%0%0%0%0%0%51.8039%100%
High Card0%0%0%0%0%0%0%100%

Total Possibilities
1081

The main points of interest in this scenario are:
1. Almost a 1 in 2 chance of having two pairs or better at the end.
2. About a 1 in 10 chance of having three of a kind or better.
3. Almost a 1 in 25 chance of having a full house.

Scenario 2

In this scenario we will be examining the possible outcomes when a player already has 3 of a kind.

A S7 D   2 SA CA HBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind4.2553%0%0%0%0%0%4.2553%4.2553%
Full House29.1397%0%0%0%0%0%29.1397%33.395%
Flush0%0%0%0%0%0%0%33.395%
Straight0%0%0%0%0%0%0%33.395%
Three of a Kind66.605%0%0%0%0%0%66.605%100%
Two Pairs0%0%0%0%0%0%0%100%
Single Pair0%0%0%0%0%0%0%100%
High Card0%0%0%0%0%0%0%100%

Total Possibilities
1081

The main points of interest in this scenario are:
1. There is a 4.3% chance of getting 4 of a kind.
2. There is about a 1 in 3 chance of getting a full house or better.

Scenario 3

In this scenario we already have two pairs, we will examine the chance of getting a full house.

K DJ C   K CJ D6 HBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind0%0.0925%0%0.0925%0%0%0.185%0.185%
Full House0%8.3256%0%7.9556%0%0.2775%16.5587%16.7438%
Flush0%0%0%0%0%0%0%16.7438%
Straight0%0%0%0%0%0%0%16.7438%
Three of a Kind0%0%0%0%0%0%0%16.7438%
Two Pairs0.555%82.7012%0%0%0%0%83.2562%100%
Single Pair0%0%0%0%0%0%0%100%
High Card0%0%0%0%0%0%0%100%

Total Possibilities
1081

The main point of interest in this scenario is:
1. There is a 16.6% chance of getting a full house.

Scenario 4

This scenario is similar to the one above except this time we have a flush and straight possibility as well.

K DJ C   K CJ D10 DBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0.0925%0.0925%0%0%0%0%0.185%0.185%
Four of a Kind0%0.0925%0%0.0925%0%0%0.185%0.37%
Full House0%8.3256%0%7.9556%0.2775%0%16.5587%16.9288%
Flush0.7401%3.2377%0%0%0%0%3.9778%20.9066%
Straight1.3876%1.3876%0%0%0%0%2.7752%23.6818%
Three of a Kind0%0%0%0%0%0%0%23.6818%
Two Pairs0.555%75.7632%0%0%0%0%76.3182%100%
Single Pair0%0%0%0%0%0%0%100%
High Card0%0%0%0%0%0%0%100%

Total Possibilities
1081

The main point of interest in this scenario is:
1. We have a 23.7% chance of improving our hand, compared to a 16.7% in the previous scenario.

Scenario 5

In this scenario we are waiting for a King to make a straight (we have an inside straight draw).

A DQ H   J C10 S5 HBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind0%0%0%0%0%0%0%0%
Full House0%0%0%0%0%0%0%0%
Flush0%0%0%0%0%0%0%0%
Straight16.4662%0%1.4801%0%0%0%17.9463%17.9463%
Three of a Kind0.2775%0%0.2775%0.2775%0.2775%0.2775%1.3876%19.334%
Two Pairs3.3302%0%2.4977%1.6651%0.8326%0%8.3256%27.6596%
Single Pair7.7706%0%7.7706%7.7706%7.7706%11.6559%42.7382%70.3978%
High Card29.6022%0%0%0%0%0%29.6022%100%

Total Possibilities
1081

The main points of interest in this scenario are:
1. There is a 16.5% chance of getting the King we need, with another 1.5% chance of getting a 9 and a 8 to make a Queen high straight.
2. There is a 8.3% chance getting 2 pairs and a 5.8% chance of getting 2 pairs using at least one of our pocket cards.
3. There is a 42.7% chance getting a single pair and a 15.5% chance of getting a single pair using one of our pocket cards.

Scenario 6

In this scenario we are waiting for a Ace or 9 to make a straight (we have an open ended straight draw).

K SJ C   Q S10 D4 HBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind0%0%0%0%0%0%0%0%
Full House0%0%0%0%0%0%0%0%
Flush0%0%0%0%0%0%0%0%
Straight16.4662%14.9861%0%0%0%0%31.4524%31.4524%
Three of a Kind0%0.2775%0.2775%0.2775%0.2775%0.2775%1.3876%32.84%
Two Pairs0%3.3302%2.4977%1.6651%0.8326%0%8.3256%41.1656%
Single Pair0%6.6605%6.6605%6.6605%6.6605%9.9907%36.6327%77.7983%
High Card0%22.2017%0%0%0%0%22.2017%100%

Total Possibilities
1081

The main points of interest in this scenario are:
1. There is a 16.5% chance of getting the Ace we need to get an high straight, with another 15% chance of getting the 9 to make a King high straight.
2. Based on the point above, we have a 31.5% chance of making a straight.

Scenario 7

In this scenario we are waiting for a spade to make a flush.

A SJ S   9 S5 S3 HBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind0%0%0%0%0%0%0%0%
Full House0%0%0%0%0%0%0%0%
Flush34.9676%0%0%0%0%0%34.9676%34.9676%
Straight0%0%0%0%0%0.8326%0.8326%35.8002%
Three of a Kind0.2775%0%0%0.2775%0%0.6475%1.2026%37.0028%
Two Pairs3.0527%0%0%2.2202%0%1.9426%7.2155%44.2183%
Single Pair6.6605%0.2775%0.2775%6.6605%0.2775%19.1489%33.3025%77.5208%
High Card22.4792%0%0%0%0%0%22.4792%100%

Total Possibilities
1081

The main point of interest in this scenario is:
1. There is a little over a 1 in 3 chance of getting a flush.

Scenario 8

In this scenario we have a chance for a straight-flush, flush and an inside straight draw.

A SK S   Q S10 S4 DBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush4.2553%0%0%0%0%0%4.2553%4.2553%
Four of a Kind0%0%0%0%0%0%0%4.2553%
Full House0%0%0%0%0%0%0%4.2553%
Flush30.7123%0%0%0%0%0%30.7123%34.9676%
Straight9.9907%0%0%0%0%0%9.9907%44.9584%
Three of a Kind0.2775%0.2775%0%0.2775%0.2775%0.0925%1.2026%46.161%
Two Pairs3.0527%2.2202%0%1.3876%0.555%0%7.2155%53.3765%
Single Pair5.8279%5.8279%0%5.8279%5.8279%5.8279%29.1397%82.5162%
High Card17.4838%0%0%0%0%0%17.4838%100%

Total Possibilities
1081

The main points of interest in this scenario are:
1. There is a 4.3% chance of getting a straight flush.
2. There is a 30.7% chance of getting a flush.
3. There is a 10% chance of getting a straight.
4. There is a 45% chance of getting a straight or better.

Scenario 9

This scenario is similar to the one above except with a open ended straight draw.

K SQ S   10 SJ S4 DBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush4.2553%4.1628%0%0%0%0%8.4181%8.4181%
Four of a Kind0%0%0%0%0%0%0%8.4181%
Full House0%0%0%0%0%0%0%8.4181%
Flush0%26.5495%0%0%0%0%26.5495%34.9676%
Straight9.9907%9.1582%0%0%0%0%19.1489%54.1166%
Three of a Kind0%0.2775%0.2775%0.2775%0.2775%0.0925%1.2026%55.3191%
Two Pairs0%3.0527%2.2202%1.3876%0.555%0%7.2155%62.5347%
Single Pair0%4.9954%4.9954%4.9954%4.9954%4.9954%24.9769%87.5116%
High Card0%12.4884%0%0%0%0%12.4884%100%

Total Possibilities
1081

The main points of interest in this scenario are:
1. There is a 8.4% chance of getting a straight flush.
2. There is a 26.5% chance of getting a flush. This is lower than the previous scenario because of the greater probability of a straight-flush.
3. There is a 19.1% chance of getting a straight.
4. There is a 54.1% chance of getting a straight or better. This is higher than previously because of the extra possibilites of a straight.

Scenario 10

In this scenario we basically have nothing going, there is just an outside chance of a straight.

K DJ C   9 S3 H6 DBlankBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind0%0%0%0%0%0%0%0%
Full House0%0%0%0%0%0%0%0%
Flush0%0%0%0%0%0%0%0%
Straight0%1.4801%0%0%0%0%1.4801%1.4801%
Three of a Kind0%0.2775%0%0.2775%0%0.8326%1.3876%2.8677%
Two Pairs0%3.3302%0%2.4977%0%2.4977%8.3256%11.1933%
Single Pair0.555%8.8807%0.555%8.8807%0.555%29.4172%48.8437%60.037%
High Card10.3608%29.6022%0%0%0%0%39.963%100%

Total Possibilities
1081

The main points of interest in this scenario are:
1. There is just a 11.2% chance of getting two pairs or higher.
2. There is just a 7.9% chance of getting two pairs or higher while using at least one of the pocket cards.
3. There is a 17.7% chance of getting a pair while using one of the pocket cards.

You may now like to continue to the after the turn scenarios:
After the Turn Scenarios







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