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

In this section we will be demonstrating the possible outcomes of a hand in Texas Hold'Em after the turn card. We will run through the various possible scenarios the player may have. These scenarios are based on the senarios we had for the flop.

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 DJ DBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
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%0%0%0%0%0%0%0%
Three of a Kind4.3478%0%0%0%0%0%4.3478%4.3478%
Two Pairs26.087%0%0%0%0%0%26.087%30.4348%
Single Pair69.5652%0%0%0%0%0%69.5652%100%
High Card0%0%0%0%0%0%0%100%

Total Possibilities
46

The main points of interest in this scenario are:
1. There is just a 4.3% chance of getting an Ace on the river.
2. There is a 26.1% chance of making two pairs on the river.

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 H8 DBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind2.1739%0%0%0%0%0%2.1739%2.1739%
Full House19.5652%0%0%0%0%0%19.5652%21.7391%
Flush0%0%0%0%0%0%0%21.7391%
Straight0%0%0%0%0%0%0%21.7391%
Three of a Kind78.2609%0%0%0%0%0%78.2609%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
46

The main points of interest in this scenario are:
1. There is just a 2.2% chance of getting 4 of a kind.
2. There is about a 1 in 5 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 H7 HBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush0%0%0%0%0%0%0%0%
Four of a Kind0%0%0%0%0%0%0%0%
Full House0%4.3478%0%4.3478%0%0%8.6957%8.6957%
Flush0%0%0%0%0%0%0%8.6957%
Straight0%0%0%0%0%0%0%8.6957%
Three of a Kind0%0%0%0%0%0%0%8.6957%
Two Pairs0%91.3043%0%0%0%0%91.3043%100%
Single Pair0%0%0%0%0%0%0%100%
High Card0%0%0%0%0%0%0%100%

Total Possibilities
46

The main point of interest in this scenario is:
1. There is a 8.7% 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 DQ DBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush2.1739%2.1739%0%0%0%0%4.3478%4.3478%
Four of a Kind0%0%0%0%0%0%0%4.3478%
Full House0%4.3478%0%4.3478%0%0%8.6957%13.0435%
Flush0%15.2174%0%0%0%0%15.2174%28.2609%
Straight6.5217%6.5217%0%0%0%0%13.0435%41.3043%
Three of a Kind0%0%0%0%0%0%0%41.3043%
Two Pairs0%58.6957%0%0%0%0%58.6957%100%
Single Pair0%0%0%0%0%0%0%100%
High Card0%0%0%0%0%0%0%100%

Total Possibilities
46

The main point of interest in this scenario is:
1. We have a 41.3% chance of improving our hand.

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 H7 HBlank

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%
Straight8.6957%0%0%0%0%0%8.6957%8.6957%
Three of a Kind0%0%0%0%0%0%0%8.6957%
Two Pairs0%0%0%0%0%0%0%8.6957%
Single Pair6.5217%0%6.5217%6.5217%6.5217%13.0435%39.1304%47.8261%
High Card52.1739%0%0%0%0%0%52.1739%100%

Total Possibilities
46

The main points of interest in this scenario are:
1. There is a 8.7% chance of getting the King we need.
2. There is a 47.8% chance getting a single pair and a 12.8% 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 H7 HBlank

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%
Straight8.6957%8.6957%0%0%0%0%17.3913%17.3913%
Three of a Kind0%0%0%0%0%0%0%17.3913%
Two Pairs0%0%0%0%0%0%0%17.3913%
Single Pair0%6.5217%6.5217%6.5217%6.5217%13.0435%39.1304%56.5217%
High Card0%43.4783%0%0%0%0%43.4783%100%

Total Possibilities
46

The main point of interest in this scenario is:
1. There is a 17.4% chance of getting a straight.

Scenario 7

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

A SJ S   9 S5 S3 H7 HBlank

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%
Flush19.5652%0%0%0%0%0%19.5652%19.5652%
Straight0%0%0%0%0%0%0%19.5652%
Three of a Kind0%0%0%0%0%0%0%19.5652%
Two Pairs0%0%0%0%0%0%0%19.5652%
Single Pair6.5217%0%0%6.5217%0%21.7391%34.7826%54.3478%
High Card45.6522%0%0%0%0%0%45.6522%100%

Total Possibilities
46

The main point of interest in this scenario is:
1. There is a little under a 1 in 5 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 D7 DBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush2.1739%0%0%0%0%0%2.1739%2.1739%
Four of a Kind0%0%0%0%0%0%0%2.1739%
Full House0%0%0%0%0%0%0%2.1739%
Flush17.3913%0%0%0%0%0%17.3913%19.5652%
Straight6.5217%0%0%0%0%0%6.5217%26.087%
Three of a Kind0%0%0%0%0%0%0%26.087%
Two Pairs0%0%0%0%0%0%0%26.087%
Single Pair6.5217%6.5217%6.5217%0%6.5217%8.6957%34.7826%60.8696%
High Card39.1304%0%0%0%0%0%39.1304%100%

Total Possibilities
46

The main points of interest in this scenario are:
1. There is a 2.2% chance of getting a straight flush.
2. There is a 17.4% chance of getting a flush.
3. There is a 6.5% chance of getting a straight.
4. There is a 26.1% chance of getting a straight or better.

Scenario 9

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

K SQ S   10 SJ S4 D7 DBlank

Hand NameAceKingQueenJack10OtherTotalAccum.
Straight Flush2.1739%2.1739%0%0%0%0%4.3478%4.3478%
Four of a Kind0%0%0%0%0%0%0%4.3478%
Full House0%0%0%0%0%0%0%4.3478%
Flush0%15.2174%0%0%0%0%15.2174%19.5652%
Straight6.5217%6.5217%0%0%0%0%13.0435%32.6087%
Three of a Kind0%0%0%0%0%0%0%32.6087%
Two Pairs0%0%0%0%0%0%0%32.6087%
Single Pair0%6.5217%6.5217%6.5217%6.5217%8.6957%34.7826%67.3913%
High Card0%32.6087%0%0%0%0%32.6087%100%

Total Possibilities
46

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 15.2% 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 13% chance of getting a straight.
4. There is a 32.6% 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 D4 CBlank

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%0%0%0%0%0%0%0%
Three of a Kind0%0%0%0%0%0%0%0%
Two Pairs0%0%0%0%0%0%0%0%
Single Pair0%6.5217%0%6.5217%0%26.087%39.1304%39.1304%
High Card8.6957%52.1739%0%0%0%0%60.8696%100%

Total Possibilities
46

The main points of interest in this scenario are:
1. There really isn't much chance of getting anything good in this scenario.








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