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.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  0% 
Full House  0%  0%  0%  0%  0%  0%  0%  0% 
Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Straight  0%  0%  0%  0%  0%  0%  0%  0% 
Three of a Kind  4.3478%  0%  0%  0%  0%  0%  4.3478%  4.3478% 
Two Pairs  26.087%  0%  0%  0%  0%  0%  26.087%  30.4348% 
Single Pair  69.5652%  0%  0%  0%  0%  0%  69.5652%  100% 
High Card  0%  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.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Four of a Kind  2.1739%  0%  0%  0%  0%  0%  2.1739%  2.1739% 
Full House  19.5652%  0%  0%  0%  0%  0%  19.5652%  21.7391% 
Flush  0%  0%  0%  0%  0%  0%  0%  21.7391% 
Straight  0%  0%  0%  0%  0%  0%  0%  21.7391% 
Three of a Kind  78.2609%  0%  0%  0%  0%  0%  78.2609%  100% 
Two Pairs  0%  0%  0%  0%  0%  0%  0%  100% 
Single Pair  0%  0%  0%  0%  0%  0%  0%  100% 
High Card  0%  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.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  0% 
Full House  0%  4.3478%  0%  4.3478%  0%  0%  8.6957%  8.6957% 
Flush  0%  0%  0%  0%  0%  0%  0%  8.6957% 
Straight  0%  0%  0%  0%  0%  0%  0%  8.6957% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  8.6957% 
Two Pairs  0%  91.3043%  0%  0%  0%  0%  91.3043%  100% 
Single Pair  0%  0%  0%  0%  0%  0%  0%  100% 
High Card  0%  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.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  2.1739%  2.1739%  0%  0%  0%  0%  4.3478%  4.3478% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  4.3478% 
Full House  0%  4.3478%  0%  4.3478%  0%  0%  8.6957%  13.0435% 
Flush  0%  15.2174%  0%  0%  0%  0%  15.2174%  28.2609% 
Straight  6.5217%  6.5217%  0%  0%  0%  0%  13.0435%  41.3043% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  41.3043% 
Two Pairs  0%  58.6957%  0%  0%  0%  0%  58.6957%  100% 
Single Pair  0%  0%  0%  0%  0%  0%  0%  100% 
High Card  0%  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).
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  0% 
Full House  0%  0%  0%  0%  0%  0%  0%  0% 
Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Straight  8.6957%  0%  0%  0%  0%  0%  8.6957%  8.6957% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  8.6957% 
Two Pairs  0%  0%  0%  0%  0%  0%  0%  8.6957% 
Single Pair  6.5217%  0%  6.5217%  6.5217%  6.5217%  13.0435%  39.1304%  47.8261% 
High Card  52.1739%  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).
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  0% 
Full House  0%  0%  0%  0%  0%  0%  0%  0% 
Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Straight  8.6957%  8.6957%  0%  0%  0%  0%  17.3913%  17.3913% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  17.3913% 
Two Pairs  0%  0%  0%  0%  0%  0%  0%  17.3913% 
Single Pair  0%  6.5217%  6.5217%  6.5217%  6.5217%  13.0435%  39.1304%  56.5217% 
High Card  0%  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.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  0% 
Full House  0%  0%  0%  0%  0%  0%  0%  0% 
Flush  19.5652%  0%  0%  0%  0%  0%  19.5652%  19.5652% 
Straight  0%  0%  0%  0%  0%  0%  0%  19.5652% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  19.5652% 
Two Pairs  0%  0%  0%  0%  0%  0%  0%  19.5652% 
Single Pair  6.5217%  0%  0%  6.5217%  0%  21.7391%  34.7826%  54.3478% 
High Card  45.6522%  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 straightflush, flush and an inside straight draw.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  2.1739%  0%  0%  0%  0%  0%  2.1739%  2.1739% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  2.1739% 
Full House  0%  0%  0%  0%  0%  0%  0%  2.1739% 
Flush  17.3913%  0%  0%  0%  0%  0%  17.3913%  19.5652% 
Straight  6.5217%  0%  0%  0%  0%  0%  6.5217%  26.087% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  26.087% 
Two Pairs  0%  0%  0%  0%  0%  0%  0%  26.087% 
Single Pair  6.5217%  6.5217%  6.5217%  0%  6.5217%  8.6957%  34.7826%  60.8696% 
High Card  39.1304%  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.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  2.1739%  2.1739%  0%  0%  0%  0%  4.3478%  4.3478% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  4.3478% 
Full House  0%  0%  0%  0%  0%  0%  0%  4.3478% 
Flush  0%  15.2174%  0%  0%  0%  0%  15.2174%  19.5652% 
Straight  6.5217%  6.5217%  0%  0%  0%  0%  13.0435%  32.6087% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  32.6087% 
Two Pairs  0%  0%  0%  0%  0%  0%  0%  32.6087% 
Single Pair  0%  6.5217%  6.5217%  6.5217%  6.5217%  8.6957%  34.7826%  67.3913% 
High Card  0%  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 straightflush.
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.
Hand Name  Ace  King  Queen  Jack  10  Other  Total  Accum. 
Straight Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Four of a Kind  0%  0%  0%  0%  0%  0%  0%  0% 
Full House  0%  0%  0%  0%  0%  0%  0%  0% 
Flush  0%  0%  0%  0%  0%  0%  0%  0% 
Straight  0%  0%  0%  0%  0%  0%  0%  0% 
Three of a Kind  0%  0%  0%  0%  0%  0%  0%  0% 
Two Pairs  0%  0%  0%  0%  0%  0%  0%  0% 
Single Pair  0%  6.5217%  0%  6.5217%  0%  26.087%  39.1304%  39.1304% 
High Card  8.6957%  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.
