The 7 deadly forms of rank domination?

[Fnord]

I'm putting together a computer program to deal out a large sample of hands and figure out the odds of given hands being dominated for various numbers of players. To do this I need to enumerate all of the forms of domination.

Any errors in this list?

1. Upper Pair Match AA vs AK (2 cards behind)
2. Over Pair        AA vs KQ (2 cards behind)
3. Better Pair      AA vs KK (2 outs)
4. Lower Pair Match KK vs AK (3 outs)
5. Kicked Upper     AK vs AJ (3 outs)
6. Kicked Lower     AQ vs KQ (3 outs)
7. Pair in Between  KK vs AQ (3 outs)

[Fnord]

I'm putting together a computer program to deal out a large sample of hands and figure out the odds of given hands being dominated for various numbers of players. To do this I need to enumerate all of the forms of domination.

Any errors in this list?

1. Upper Pair Match AA vs AK (2 cards behind)
2. Over Pair        AA vs KQ (2 cards behind)
3. Better Pair      AA vs KK (2 outs)
4. Lower Pair Match KK vs AK (3 outs)
5. Kicked Upper     AK vs AJ (3 outs)
6. Kicked Lower     AQ vs KQ (3 outs)
7. Pair in Between  KK vs AQ (3 outs)

[Fnord]

I'm putting together a computer program to deal out a large sample of hands and figure out the odds of given hands being dominated for various numbers of players. To do this I need to enumerate all of the forms of domination.

Any errors in this list?

1. Upper Pair Match AA vs AK (2 cards behind)
2. Over Pair        AA vs KQ (2 cards behind)
3. Better Pair      AA vs KK (2 outs)
4. Lower Pair Match KK vs AK (3 outs)
5. Kicked Upper     AK vs AJ (3 outs)
6. Kicked Lower     AQ vs KQ (3 outs)
7. Pair in Between  KK vs AQ (3 outs)

[Fnord]

I'm putting together a computer program to deal out a large sample of hands and figure out the odds of given hands being dominated for various numbers of players. To do this I need to enumerate all of the forms of domination.

Any errors in this list?

1. Upper Pair Match AA vs AK (2 cards behind)
2. Over Pair        AA vs KQ (2 cards behind)
3. Better Pair      AA vs KK (2 outs)
4. Lower Pair Match KK vs AK (3 outs)
5. Kicked Upper     AK vs AJ (3 outs)
6. Kicked Lower     AQ vs KQ (3 outs)
7. Pair in Between  KK vs AQ (3 outs)

[Fnord]

I'm putting together a computer program to deal out a large sample of hands and figure out the odds of given hands being dominated for various numbers of players. To do this I need to enumerate all of the forms of domination.

Any errors in this list?

1. Upper Pair Match AA vs AK (2 cards behind)
2. Over Pair        AA vs KQ (2 cards behind)
3. Better Pair      AA vs KK (2 outs)
4. Lower Pair Match KK vs AK (3 outs)
5. Kicked Upper     AK vs AJ (3 outs)
6. Kicked Lower     AQ vs KQ (3 outs)
7. Pair in Between  KK vs AQ (3 outs)

[Fnord]

I'm putting together a computer program to deal out a large sample of hands and figure out the odds of given hands being dominated for various numbers of players. To do this I need to enumerate all of the forms of domination.

Any errors in this list?

1. Upper Pair Match AA vs AK (2 cards behind)
2. Over Pair        AA vs KQ (2 cards behind)
3. Better Pair      AA vs KK (2 outs)
4. Lower Pair Match KK vs AK (3 outs)
5. Kicked Upper     AK vs AJ (3 outs)
6. Kicked Lower     AQ vs KQ (3 outs)
7. Pair in Between  KK vs AQ (3 outs)

[!Luck]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

[!Luck]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

[!Luck]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

[!Luck]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

[!Luck]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

[!Luck]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

[Fnord]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

Slim. With type 1 and 2 domination you're screwed up the arse. Only a matter of if they are using astro-glide, sand or just plain going in raw.

Also, remember that these are only pre-flop outs based on ranks. No straights or flushes are considered. AK has 6 outs pre-flop against 22, however it's a near coin flip as to which hand comes out ahead (with a slight edge to 22.)

[Fnord]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

Slim. With type 1 and 2 domination you're screwed up the arse. Only a matter of if they are using astro-glide, sand or just plain going in raw.

Also, remember that these are only pre-flop outs based on ranks. No straights or flushes are considered. AK has 6 outs pre-flop against 22, however it's a near coin flip as to which hand comes out ahead (with a slight edge to 22.)

[Fnord]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

Slim. With type 1 and 2 domination you're screwed up the arse. Only a matter of if they are using astro-glide, sand or just plain going in raw.

Also, remember that these are only pre-flop outs based on ranks. No straights or flushes are considered. AK has 6 outs pre-flop against 22, however it's a near coin flip as to which hand comes out ahead (with a slight edge to 22.)

[Fnord]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

Slim. With type 1 and 2 domination you're screwed up the arse. Only a matter of if they are using astro-glide, sand or just plain going in raw.

Also, remember that these are only pre-flop outs based on ranks. No straights or flushes are considered. AK has 6 outs pre-flop against 22, however it's a near coin flip as to which hand comes out ahead (with a slight edge to 22.)

[Fnord]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

Slim. With type 1 and 2 domination you're screwed up the arse. Only a matter of if they are using astro-glide, sand or just plain going in raw.

Also, remember that these are only pre-flop outs based on ranks. No straights or flushes are considered. AK has 6 outs pre-flop against 22, however it's a near coin flip as to which hand comes out ahead (with a slight edge to 22.)

[Fnord]

If you are two cards behind what is your chance of catching them? I know it has to be some conditional probability, but I lack the math skills to do that.

Slim. With type 1 and 2 domination you're screwed up the arse. Only a matter of if they are using astro-glide, sand or just plain going in raw.

Also, remember that these are only pre-flop outs based on ranks. No straights or flushes are considered. AK has 6 outs pre-flop against 22, however it's a near coin flip as to which hand comes out ahead (with a slight edge to 22.)

[Fnord]

Preliminary results...

Interesting that according to this KJo is better than ATo and QJo isn't far behind.

Edit: re-ran with a better random number generator

[Fnord]

Preliminary results...

Interesting that according to this KJo is better than ATo and QJo isn't far behind.

Edit: re-ran with a better random number generator

[Fnord]

Preliminary results...

Interesting that according to this KJo is better than ATo and QJo isn't far behind.

Edit: re-ran with a better random number generator

[Fnord]

Preliminary results...

Interesting that according to this KJo is better than ATo and QJo isn't far behind.

Edit: re-ran with a better random number generator

[Fnord]

Preliminary results...

Interesting that according to this KJo is better than ATo and QJo isn't far behind.

Edit: re-ran with a better random number generator

[Fnord]

Preliminary results...

Interesting that according to this KJo is better than ATo and QJo isn't far behind.

Edit: re-ran with a better random number generator

[Fnord]

Some different table sizes

10 players 1000000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  5.7% 15.3% 23.7% 31.8% 38.7% 45.4% 51.1% 56.6% 61.1% 65.6% 69.4% 72.7%
K  5.7%  5.7% 19.3% 27.6% 35.0% 41.9% 47.9% 53.5% 58.5% 63.0% 66.9% 70.8% 74.4%
Q 15.3% 19.3% 11.3% 31.0% 38.3% 44.6% 50.6% 55.6% 60.9% 64.8% 68.9% 72.1% 75.4%
J 23.7% 27.6% 31.0% 16.1% 41.2% 47.5% 53.1% 57.9% 62.3% 66.7% 70.4% 73.7% 76.7%
T 31.8% 35.0% 38.3% 41.2% 21.5% 50.0% 55.3% 60.2% 64.3% 68.4% 71.8% 75.1% 78.0%
9 38.7% 41.9% 44.6% 47.5% 50.0% 25.7% 57.8% 62.2% 66.0% 70.1% 73.2% 76.2% 78.9%
8 45.4% 47.9% 50.6% 53.1% 55.3% 57.8% 29.9% 64.2% 68.3% 71.5% 75.0% 77.7% 80.1%
7 51.1% 53.5% 55.6% 57.9% 60.2% 62.2% 64.2% 33.8% 69.7% 73.2% 76.1% 78.9% 81.4%
6 56.6% 58.5% 60.9% 62.3% 64.3% 66.0% 68.3% 69.7% 37.8% 74.7% 77.4% 80.0% 82.2%
5 61.1% 63.0% 64.8% 66.7% 68.4% 70.1% 71.5% 73.2% 74.7% 41.0% 78.8% 81.2% 83.4%
4 65.6% 66.9% 68.9% 70.4% 71.8% 73.2% 75.0% 76.1% 77.4% 78.8% 44.5% 82.3% 84.2%
3 69.4% 70.8% 72.1% 73.7% 75.1% 76.2% 77.7% 78.9% 80.0% 81.2% 82.3% 47.9% 85.3%
2 72.7% 74.4% 75.4% 76.7% 78.0% 78.9% 80.1% 81.4% 82.2% 83.4% 84.2% 85.3% 51.0%

9 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  4.9% 11.8% 19.3% 25.7% 31.3% 37.3% 41.6% 46.9% 50.7% 54.9% 59.4% 63.1%
K  4.9%  5.1% 14.9% 21.2% 27.6% 33.1% 38.3% 43.6% 48.5% 52.4% 56.9% 60.5% 63.7%
Q 11.8% 14.9% 10.1% 23.4% 29.0% 35.1% 40.0% 45.5% 49.0% 54.1% 58.5% 62.2% 65.9%
J 19.3% 21.2% 23.4% 14.2% 31.7% 37.1% 42.3% 46.6% 51.1% 55.7% 59.1% 62.7% 66.3%
T 25.7% 27.6% 29.0% 31.7% 18.8% 38.4% 44.3% 48.4% 52.7% 56.5% 60.8% 64.5% 67.2%
9 31.3% 33.1% 35.1% 37.1% 38.4% 23.4% 45.3% 49.8% 53.7% 58.4% 62.1% 65.2% 68.6%
8 37.3% 38.3% 40.0% 42.3% 44.3% 45.3% 27.9% 51.5% 56.0% 59.7% 63.2% 66.3% 69.6%
7 41.6% 43.6% 45.5% 46.6% 48.4% 49.8% 51.5% 31.3% 57.7% 61.0% 64.0% 67.5% 70.1%
6 46.9% 48.5% 49.0% 51.1% 52.7% 53.7% 56.0% 57.7% 34.6% 62.2% 65.3% 68.9% 71.4%
5 50.7% 52.4% 54.1% 55.7% 56.5% 58.4% 59.7% 61.0% 62.2% 38.2% 67.3% 69.4% 72.7%
4 54.9% 56.9% 58.5% 59.1% 60.8% 62.1% 63.2% 64.0% 65.3% 67.3% 40.7% 71.2% 73.2%
3 59.4% 60.5% 62.2% 62.7% 64.5% 65.2% 66.3% 67.5% 68.9% 69.4% 71.2% 43.8% 74.3%
2 63.1% 63.7% 65.9% 66.3% 67.2% 68.6% 69.6% 70.1% 71.4% 72.7% 73.2% 74.3% 47.5%

8 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  4.8% 10.7% 17.7% 23.6% 27.8% 33.7% 39.1% 43.5% 47.6% 51.3% 55.0% 59.0%
K  4.8%  4.2% 13.5% 19.4% 25.0% 30.0% 35.4% 39.9% 44.6% 48.7% 53.1% 56.0% 60.0%
Q 10.7% 13.5%  8.7% 21.3% 26.8% 31.9% 36.7% 41.7% 46.4% 50.0% 53.9% 57.4% 61.3%
J 17.7% 19.4% 21.3% 13.0% 28.4% 34.1% 38.5% 43.1% 47.5% 52.3% 54.7% 58.8% 61.6%
T 23.6% 25.0% 26.8% 28.4% 16.6% 35.9% 40.2% 44.5% 49.1% 53.0% 56.7% 59.4% 62.3%
9 27.8% 30.0% 31.9% 34.1% 35.9% 20.3% 42.1% 46.3% 50.3% 54.5% 57.6% 61.1% 64.7%
8 33.7% 35.4% 36.7% 38.5% 40.2% 42.1% 24.0% 48.0% 51.6% 55.5% 58.6% 61.4% 65.2%
7 39.1% 39.9% 41.7% 43.1% 44.5% 46.3% 48.0% 26.9% 53.3% 56.4% 60.4% 63.3% 66.6%
6 43.5% 44.6% 46.4% 47.5% 49.1% 50.3% 51.6% 53.3% 30.8% 58.0% 61.0% 63.9% 67.1%
5 47.6% 48.7% 50.0% 52.3% 53.0% 54.5% 55.5% 56.4% 58.0% 33.8% 62.1% 65.3% 68.4%
4 51.3% 53.1% 53.9% 54.7% 56.7% 57.6% 58.6% 60.4% 61.0% 62.1% 37.5% 66.9% 69.0%
3 55.0% 56.0% 57.4% 58.8% 59.4% 61.1% 61.4% 63.3% 63.9% 65.3% 66.9% 39.7% 70.1%
2 59.0% 60.0% 61.3% 61.6% 62.3% 64.7% 65.2% 66.6% 67.1% 68.4% 69.0% 70.1% 42.1%

7 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  3.1%  8.6% 13.7% 19.1% 23.9% 28.7% 32.9% 36.4% 41.1% 45.1% 48.3% 51.6%
K  3.1%  3.0% 11.2% 16.6% 21.3% 26.1% 31.0% 35.3% 38.8% 42.1% 46.5% 50.6% 53.2%
Q  8.6% 11.2%  5.0% 19.1% 24.1% 28.6% 32.6% 36.5% 41.8% 44.0% 48.2% 51.4% 55.3%
J 13.7% 16.6% 19.1%  8.7% 26.5% 30.5% 35.4% 39.2% 42.2% 46.4% 50.1% 53.1% 56.4%
T 19.1% 21.3% 24.1% 26.5% 10.8% 33.2% 37.3% 41.7% 44.7% 47.9% 52.1% 55.7% 57.3%
9 23.9% 26.1% 28.6% 30.5% 33.2% 14.3% 39.8% 42.4% 47.3% 50.0% 53.2% 57.0% 59.0%
8 28.7% 31.0% 32.6% 35.4% 37.3% 39.8% 16.5% 45.1% 48.5% 52.2% 55.3% 57.7% 60.9%
7 32.9% 35.3% 36.5% 39.2% 41.7% 42.4% 45.1% 19.5% 50.2% 54.3% 56.0% 59.8% 62.4%
6 36.4% 38.8% 41.8% 42.2% 44.7% 47.3% 48.5% 50.2% 21.3% 54.7% 58.5% 60.3% 63.2%
5 41.1% 42.1% 44.0% 46.4% 47.9% 50.0% 52.2% 54.3% 54.7% 23.5% 59.9% 61.9% 64.6%
4 45.1% 46.5% 48.2% 50.1% 52.1% 53.2% 55.3% 56.0% 58.5% 59.9% 25.8% 62.8% 65.7%
3 48.3% 50.6% 51.4% 53.1% 55.7% 57.0% 57.7% 59.8% 60.3% 61.9% 62.8% 27.8% 67.2%
2 51.6% 53.2% 55.3% 56.4% 57.3% 59.0% 60.9% 62.4% 63.2% 64.6% 65.7% 67.2% 30.0%

6 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  3.3%  7.9% 12.7% 16.9% 20.9% 25.4% 29.3% 33.1% 36.7% 40.3% 44.0% 46.9%
K  3.3%  3.7%  9.8% 14.3% 19.0% 22.1% 26.4% 30.4% 34.6% 37.9% 41.1% 44.7% 48.1%
Q  7.9%  9.8%  6.0% 15.6% 20.0% 24.4% 28.5% 31.9% 35.1% 39.2% 42.3% 46.1% 48.6%
J 12.7% 14.3% 15.6%  9.1% 21.4% 25.3% 29.6% 33.7% 36.7% 40.3% 43.1% 47.5% 50.3%
T 16.9% 19.0% 20.0% 21.4% 12.2% 26.9% 30.9% 34.9% 38.2% 41.2% 44.8% 47.2% 50.9%
9 20.9% 22.1% 24.4% 25.3% 26.9% 15.3% 31.6% 36.0% 39.2% 41.9% 45.8% 48.7% 51.5%
8 25.4% 26.4% 28.5% 29.6% 30.9% 31.6% 17.3% 37.2% 40.6% 43.9% 46.3% 49.6% 52.7%
7 29.3% 30.4% 31.9% 33.7% 34.9% 36.0% 37.2% 20.3% 41.9% 44.4% 48.8% 51.0% 53.8%
6 33.1% 34.6% 35.1% 36.7% 38.2% 39.2% 40.6% 41.9% 23.0% 46.0% 49.1% 51.3% 54.7%
5 36.7% 37.9% 39.2% 40.3% 41.2% 41.9% 43.9% 44.4% 46.0% 26.7% 49.9% 52.5% 56.6%
4 40.3% 41.1% 42.3% 43.1% 44.8% 45.8% 46.3% 48.8% 49.1% 49.9% 28.0% 54.0% 56.8%
3 44.0% 44.7% 46.1% 47.5% 47.2% 48.7% 49.6% 51.0% 51.3% 52.5% 54.0% 30.0% 57.6%
2 46.9% 48.1% 48.6% 50.3% 50.9% 51.5% 52.7% 53.8% 54.7% 56.6% 56.8% 57.6% 32.2%

5 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  1.8%  5.6%  9.8% 12.9% 16.6% 20.3% 23.5% 26.9% 29.6% 32.8% 35.4% 38.6%
K  1.8%  1.8%  7.4% 11.6% 14.9% 18.3% 21.9% 24.5% 27.9% 30.3% 34.0% 37.4% 39.5%
Q  5.6%  7.4%  3.6% 13.3% 16.3% 20.2% 23.9% 26.5% 29.8% 32.8% 35.7% 37.5% 40.9%
J  9.8% 11.6% 13.3%  6.2% 18.3% 21.4% 24.5% 27.9% 31.0% 34.7% 37.1% 38.6% 42.2%
T 12.9% 14.9% 16.3% 18.3%  7.6% 23.0% 26.2% 30.5% 32.4% 35.3% 38.2% 41.4% 44.4%
9 16.6% 18.3% 20.2% 21.4% 23.0%  9.5% 28.5% 31.6% 34.5% 36.6% 39.6% 42.2% 45.5%
8 20.3% 21.9% 23.9% 24.5% 26.2% 28.5% 11.4% 32.4% 35.5% 38.8% 40.7% 43.5% 46.0%
7 23.5% 24.5% 26.5% 27.9% 30.5% 31.6% 32.4% 14.0% 37.0% 40.0% 42.6% 45.1% 47.6%
6 26.9% 27.9% 29.8% 31.0% 32.4% 34.5% 35.5% 37.0% 14.1% 41.0% 43.9% 46.4% 48.4%
5 29.6% 30.3% 32.8% 34.7% 35.3% 36.6% 38.8% 40.0% 41.0% 15.5% 44.5% 48.1% 50.4%
4 32.8% 34.0% 35.7% 37.1% 38.2% 39.6% 40.7% 42.6% 43.9% 44.5% 18.3% 48.4% 51.9%
3 35.4% 37.4% 37.5% 38.6% 41.4% 42.2% 43.5% 45.1% 46.4% 48.1% 48.4% 20.9% 52.2%
2 38.6% 39.5% 40.9% 42.2% 44.4% 45.5% 46.0% 47.6% 48.4% 50.4% 51.9% 52.2% 21.3%

4 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  1.9%  5.5%  9.3% 12.3% 15.1% 18.2% 21.5% 24.1% 27.3% 29.8% 33.5% 35.6%
K  1.9%  1.7%  7.0% 10.6% 13.9% 16.4% 19.2% 22.1% 25.6% 27.9% 31.2% 33.8% 36.4%
Q  5.5%  7.0%  4.1% 11.5% 14.7% 17.6% 20.7% 24.0% 26.9% 29.4% 32.7% 34.8% 37.6%
J  9.3% 10.6% 11.5%  5.7% 16.3% 18.8% 22.4% 24.4% 27.5% 31.2% 34.5% 36.5% 38.6%
T 12.3% 13.9% 14.7% 16.3%  7.9% 20.9% 23.5% 27.6% 30.3% 32.4% 34.6% 38.0% 39.8%
9 15.1% 16.4% 17.6% 18.8% 20.9%  9.5% 24.7% 28.1% 30.7% 33.2% 36.1% 38.9% 41.6%
8 18.2% 19.2% 20.7% 22.4% 23.5% 24.7% 10.7% 28.5% 31.6% 34.8% 37.7% 39.9% 42.3%
7 21.5% 22.1% 24.0% 24.4% 27.6% 28.1% 28.5% 13.2% 32.9% 36.4% 38.9% 40.7% 42.8%
6 24.1% 25.6% 26.9% 27.5% 30.3% 30.7% 31.6% 32.9% 14.1% 37.0% 40.3% 41.9% 44.4%
5 27.3% 27.9% 29.4% 31.2% 32.4% 33.2% 34.8% 36.4% 37.0% 15.5% 40.2% 43.5% 46.3%
4 29.8% 31.2% 32.7% 34.5% 34.6% 36.1% 37.7% 38.9% 40.3% 40.2% 17.7% 43.8% 47.3%
3 33.5% 33.8% 34.8% 36.5% 38.0% 38.9% 39.9% 40.7% 41.9% 43.5% 43.8% 20.2% 47.4%
2 35.6% 36.4% 37.6% 38.6% 39.8% 41.6% 42.3% 42.8% 44.4% 46.3% 47.3% 47.4% 21.3%

3 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  1.3%  3.0%  5.2%  7.2%  8.8% 10.9% 12.2% 14.7% 15.9% 18.6% 19.0% 21.5%
K  1.3%  1.1%  3.9%  5.8%  7.3%  9.5% 11.3% 12.7% 13.9% 17.0% 18.0% 20.0% 21.8%
Q  3.0%  3.9%  2.5%  6.3%  8.7% 10.4% 11.3% 13.1% 15.3% 17.7% 18.9% 20.8% 22.2%
J  5.2%  5.8%  6.3%  3.6%  8.2% 10.4% 12.0% 14.0% 15.3% 18.0% 19.5% 20.9% 23.1%
T  7.2%  7.3%  8.7%  8.2%  5.0% 11.2% 13.5% 14.9% 16.9% 18.7% 19.8% 22.1% 23.2%
9  8.8%  9.5% 10.4% 10.4% 11.2%  6.5% 14.0% 16.2% 16.8% 19.1% 20.5% 22.2% 24.1%
8 10.9% 11.3% 11.3% 12.0% 13.5% 14.0%  7.6% 16.0% 17.9% 18.7% 20.8% 23.3% 24.2%
7 12.2% 12.7% 13.1% 14.0% 14.9% 16.2% 16.0%  8.5% 18.3% 20.1% 22.1% 22.8% 25.0%
6 14.7% 13.9% 15.3% 15.3% 16.9% 16.8% 17.9% 18.3%  9.6% 21.1% 22.5% 23.3% 26.2%
5 15.9% 17.0% 17.7% 18.0% 18.7% 19.1% 18.7% 20.1% 21.1% 10.8% 22.9% 24.1% 27.2%
4 18.6% 18.0% 18.9% 19.5% 19.8% 20.5% 20.8% 22.1% 22.5% 22.9% 11.9% 25.7% 26.7%
3 19.0% 20.0% 20.8% 20.9% 22.1% 22.2% 23.3% 22.8% 23.3% 24.1% 25.7% 13.6% 27.1%
2 21.5% 21.8% 22.2% 23.1% 23.2% 24.1% 24.2% 25.0% 26.2% 27.2% 26.7% 27.1% 14.4%

2 players 250000 hands
   A     K     Q     J     T     9     8     7     6     5     4     3     2
A  0.0%  1.0%  1.9%  2.7%  4.0%  5.0%  6.2%  7.1%  8.0% 10.3% 10.8% 12.0% 12.5%
K  1.0%  0.5%  2.3%  3.4%  4.9%  5.9%  7.1%  7.8%  8.7%  9.9% 11.3% 12.4% 13.3%
Q  1.9%  2.3%  1.3%  3.7%  4.9%  6.0%  6.9%  8.8%  9.5% 10.4% 12.2% 13.0% 13.9%
J  2.7%  3.4%  3.7%  1.6%  5.7%  6.6%  8.1%  9.3%  9.8% 10.5% 11.2% 13.6% 13.5%
T  4.0%  4.9%  4.9%  5.7%  2.3%  7.1%  8.1%  8.7% 10.7% 10.9% 12.6% 13.8% 14.5%
9  5.0%  5.9%  6.0%  6.6%  7.1%  3.5%  8.9%  9.7% 10.5% 12.0% 12.5% 14.4% 14.9%
8  6.2%  7.1%  6.9%  8.1%  8.1%  8.9%  4.1% 10.2% 10.9% 12.7% 13.4% 14.4% 15.6%
7  7.1%  7.8%  8.8%  9.3%  8.7%  9.7% 10.2%  4.2% 11.9% 13.1% 13.5% 15.0% 16.5%
6  8.0%  8.7%  9.5%  9.8% 10.7% 10.5% 10.9% 11.9%  5.7% 13.4% 15.1% 15.1% 16.4%
5 10.3%  9.9% 10.4% 10.5% 10.9% 12.0% 12.7% 13.1% 13.4%  5.2% 15.1% 15.8% 16.7%
4 10.8% 11.3% 12.2% 11.2% 12.6% 12.5% 13.4% 13.5% 15.1% 15.1%  6.3% 16.1% 16.1%
3 12.0% 12.4% 13.0% 13.6% 13.8% 14.4% 14.4% 15.0% 15.1% 15.8% 16.1%  7.4% 17.7%
2 12.5% 13.3% 13.9% 13.5% 14.5% 14.9% 15.6% 16.5% 16.4% 16.7% 16.1% 17.7%  6.9%

Edit: did a larger run for 10 players

[Fnord]

Source code

// Domination.cpp : Defines the entry point for the console application.
//

#include "stdafx.h"


DWORD dwSeed;

DWORD PsudoRand()
{
    return dwSeed = 1664525L * dwSeed + 1013904223L;
}

enum Rank 
{
    RANK_A = 12,
    RANK_K = 11,
    RANK_Q = 10,
    RANK_J =  9,
    RANK_T =  8,
    RANK_9 =  7,
    RANK_8 =  6,
    RANK_7 =  5,
    RANK_6 =  4,
    RANK_5 =  3,
    RANK_4 =  2,
    RANK_3 =  1,
    RANK_2 =  0
};

enum Suit 
{
    SUIT_C = 0,
    SUIT_D = 1,
    SUIT_H = 2,
    SUIT_S = 3
};

class CCard 
{
public:
    CCard() {}
    CCard(int suit, int rank) { m_iValue = rank + (suit * 16); }
    CCard(CCard &card) { m_iValue = card.m_iValue; }

    void Set(int suit, int rank) { m_iValue = rank + (suit * 16); }

    int GetRank() { return m_iValue % 16; }
    int GetSuit() { return m_iValue / 16; }

protected:
    int m_iValue;
};

class CHand
{
public:
    BOOL IsPair() { return m_rgCCard[0].GetRank() == m_rgCCard[1].GetRank(); }
    BOOL IsDominated(CHand &hand);

    int GetLeftRank() { return m_rgCCard[0].GetRank(); }
    int GetLeftSuit() { return m_rgCCard[0].GetSuit(); }
    int GetRightRank() { return m_rgCCard[1].GetRank(); }
    int GetRightSuit() { return m_rgCCard[1].GetSuit(); }

protected:
    CCard m_rgCCard[2];
};

void InitDeck(CCard rgcardDeck[52])
{
    int i, j;

    for (i = 0; i < 4; i++)
    {
        for (j = 0; j < 13; j++)
        {
            rgcardDeck[j + (i * 13)].Set(i, j);
        }
    }
}

void ShuffleDeck(CCard rgcardDeck[52], int iTableSize)
{
    int i;
    DWORD rand;
    CCard cardTemp;

    for (i = 0; i < (iTableSize * 2); i++)
    {
        rand = PsudoRand() % 52;
        cardTemp = rgcardDeck[i];
        rgcardDeck[i] = rgcardDeck[rand];
        rgcardDeck[rand] = cardTemp;
    }
}

BOOL CHand::IsDominated(CHand &hand)
{
    // Are we a pair?
    if (IsPair())
    {
        // Only dominated by another pair
        if (hand.IsPair() &&
            (hand.m_rgCCard[0].GetRank() > (m_rgCCard[0].GetRank())))
        {
            // Bigger pair
            return TRUE;
        }
    }
    else
    {
        // Is the other hand a pair?
        if (hand.IsPair())
        {
            if ((hand.m_rgCCard[0].GetRank() >= m_rgCCard[0].GetRank()) ||
                (hand.m_rgCCard[0].GetRank() >= m_rgCCard[1].GetRank()))
            {
                // Bigger or equal to either card
                return TRUE;
            }
        }
        else
        {
            if ((hand.m_rgCCard[0].GetRank() == m_rgCCard[0].GetRank()) &&
                (hand.m_rgCCard[1].GetRank() > m_rgCCard[1].GetRank()))
            {
                return TRUE;
            }
            else if ((hand.m_rgCCard[1].GetRank() == m_rgCCard[1].GetRank()) &&
                (hand.m_rgCCard[0].GetRank() > m_rgCCard[0].GetRank()))
            {
                return TRUE;
            }
        }
    }

    return FALSE;
}

int main(int argc, char* argv[])
{
    int i, j, k;
    CCard rgcardDeck[52];
    CHand *pCHandLeft;
    CHand *pCHandRight;
    int rgrgrgiDomination[13][13];
    int rgrgrgiOccurances[13][13];
    int iTableSize = 7;
    int iSampleSize = 250000;

    dwSeed = GetTickCount();

    InitDeck(rgcardDeck);

    memset(rgrgrgiDomination, 0,  sizeof(int) * 13 * 13);
    memset(rgrgrgiOccurances, 0,  sizeof(int) * 13 * 13);

    for (i=0; i< iSampleSize; i++)
    {
        // Shuffle
        ShuffleDeck(rgcardDeck, iTableSize);

        // Check for domination
        for (j=0; j< iTableSize; j++)
        {
            pCHandLeft = (CHand *) (rgcardDeck + (j * 2));

            if (pCHandLeft->GetLeftRank() < pCHandLeft->GetRightRank())
            {
                rgrgrgiOccurances[pCHandLeft->GetLeftRank()][pCHandLeft->GetRightRank()]++;
            }
            else
            {
                rgrgrgiOccurances[pCHandLeft->GetRightRank()][pCHandLeft->GetLeftRank()]++;
            }

            for (k=0; k < iTableSize; k++)
            {
                if (j == k) continue;
                pCHandRight = (CHand *) (rgcardDeck + (k * 2));

                if (pCHandLeft->GetLeftRank() < pCHandLeft->GetRightRank())
                {
                    if (pCHandLeft->IsDominated(*pCHandRight))
                    {
                        rgrgrgiDomination[pCHandLeft->GetLeftRank()][pCHandLeft->GetRightRank()]++;
                        break;
                    }
                    
                }
                else
                {
                    if (pCHandLeft->IsDominated(*pCHandRight))
                    {
                        rgrgrgiDomination[pCHandLeft->GetRightRank()][pCHandLeft->GetLeftRank()]++;
                        break;
                    }
                }
            }

        }
    }

    // Print the results
    char rgchRanks[13] = { '2', '3', '4', '5', '6', '7', '8', '9', 'T', 'J', 'Q', 'K', 'A' };
    int iPercent;
     
    printf("%i players %i hands\n", iTableSize, iSampleSize);
    printf("   A     K     Q     J     T     9     8     7     6     5     4     3     2\n");
    for (i = 12; i>= 0; i--)
    {
        printf("%c ", rgchRanks[i]);

        for (j = 12; j >= 0; j--)
        {
            
            if (i < j)
            {
                if (rgrgrgiOccurances[i][j] != 0)
                {   
                    iPercent = (rgrgrgiDomination[i][j] * 1000) / rgrgrgiOccurances[i][j];
                }
                else
                {
                    iPercent = 0;
                }
            }
            else
            {
                if (rgrgrgiOccurances[j][i] != 0)
                {   
                    iPercent = (rgrgrgiDomination[j][i] * 1000) / rgrgrgiOccurances[j][i];
                }
                else
                {
                    iPercent = 0;
                }
            }
            
            printf("%2d%c%.1d%c ", iPercent / 10, '.', iPercent % 10, '%');
        }

        printf("\n");
    }

    return 0;
}

[ttanaka]

Wow, this is awesome...

[!Luck]

I am little confused on what each of these number mean, i re read it several times and i am still not sure.

[Fnord]

I am little confused on what each of these number mean, i re read it several times and i am still not sure.

Odds someone at the table has you rank dominated.

[doubleup]

Just wanted to know if you ever completed this program? How helpful would this program be?

[Fnord]

Just wanted to know if you ever completed this program? How helpful would this program be?

No, I'm such a slacker...

Hey, wait! It's already in the thread with source code. Wow! How did that happen?

[doubleup]

LOL, ok for us non computer programmers. What do we do with the source code?

[Fnord]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

[Xianti]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

<chortle>

[fishstick]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

<chortle>

between fnord's sparkling wit, and xianti's robust cleavage, i just can't concentrate on poker today! :P

[AvatarKava]

http://sourceforge.net/projects/pokersource/

Might also be of some interest for you guys, if you're into the whole sim thing.

[allLiving]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

<chortle>

between fnord's sparkling wit, and xianti's robust cleavage, i just can't concentrate on poker today! :P

This post has no informative value, I just wanted to see what it looked like when I quote someone who is quoting someone who is quoting someone who is quoting someone else! Oooo!

[SpecOps]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

<chortle>

between fnord's sparkling wit, and xianti's robust cleavage, i just can't concentrate on poker today! :P

This post has no informative value, I just wanted to see what it looked like when I quote someone who is quoting someone who is quoting someone who is quoting someone else! Oooo!

Wow...and I though I was bored at work today.

[Fnord]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

<chortle>

between fnord's sparkling wit, and xianti's robust cleavage, i just can't concentrate on poker today! :P

This post has no informative value, I just wanted to see what it looked like when I quote someone who is quoting someone who is quoting someone who is quoting someone else! Oooo!

Wow...and I though I was bored at work today.

Party on!

[fishstick]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

<chortle>

between fnord's sparkling wit, and xianti's robust cleavage, i just can't concentrate on poker today! :P

This post has no informative value, I just wanted to see what it looked like when I quote someone who is quoting someone who is quoting someone who is quoting someone else! Oooo!

Wow...and I though I was bored at work today.

Party on!

a fishstick post with "no informative value"??? i think not!

[fishstick]

LOL, ok for us non computer programmers. What do we do with the source code?

Print it and hang it up on your wall marveling at it's sheer genius?

<chortle>

between fnord's sparkling wit, and xianti's robust cleavage, i just can't concentrate on poker today! :P

This post has no informative value, I just wanted to see what it looked like when I quote someone who is quoting someone who is quoting someone who is quoting someone else! Oooo!

Wow...and I though I was bored at work today.

Party on!

a fishstick post with "no informative value"??? i think not!

[jmrogers7]

There's that double-post thing again, fishstick. Did you forget to take your medicine again?

[fishstick]

There's that double-post thing again, fishstick. Did you forget to take your medicine again?

you know - oddly, that only seems to happen when i post from home???

think of it as fishstick doublemint!

can i have my medication now?

[jmrogers7]

you know - oddly, that only seems to happen when i post from home???

Well, those nursing "home" technical support people probably suffer from a bit of dimentia from time to time so I would expect that in your environment! 8)

[fishstick]

Well, those nursing "home" technical support people probably suffer from a bit of dimentia from time to time so I would expect that in your environment! 8)

you know, jm, i'm already irritated to be back at work and you're working my one good nerve!

don't make me come to ohio to kick your ass, 'cause i will! (especially if it gets me out of work! )

[jmrogers7]

Haha! I'm in a good mood today. I got to see my 2 sons over the weekend! The downside is that they live in Charleston, SC so it isn't exactly as frequent an event as I wish it could be.

BTW.... I wasn't all that impressed with Charleston. Not really my type of city I guess. Just my humble opinion.

But, It was great to see them over the long weekend and now I'm back and feeling salty! So, don't hold any of my comments against me, OK?

[fishstick]

glad you had a good weekend and got some time with your sons. never been to charlston or south carolina, but i like the raliegh/durham area of north carolina. i've even thought of moving there, but my wife is japanese and i'm a white guy, so not to sure how that would be received in the south.

i can't really complain (although, i probably will ) - had an incredible surf session sunday morning, and hit second in two $20 SNG's over the weekend.

so, i'll let you slide this one time!

what was this thread anyway - rank domination or something???

hey jm, look at my posted hand history on the small end of a full house and give me your thoughts - after my blistering FTR tourney play, no one will give me advice any more. :P

[jmrogers7]

I saw that hand history a little earlier. Looks like maybe you did a "search and replace" on your screenname and missed a couple of them because when I tried to copy and paste it into the hand history replayer it crapped out. After looking back at it it looked like your "fishstick" name and your Party Poker name (at least I assume that it's you) were both in the hand history.

Anyway, after it crapped out on the replayer, i lost interest.

I'll take another look (the loooong way, ugh....... just kiddin') and, as I always do, I'll tell you what I think!

[fishstick]

I saw that hand history a little earlier. Looks like maybe you did a "search and replace" on your screenname and missed a couple of them because when I tried to copy and paste it into the hand history replayer it crapped out. After looking back at it it looked like your "fishstick" name and your Party Poker name (at least I assume that it's you) were both in the hand history.

Anyway, after it crapped out on the replayer, i lost interest.

I'll take another look (the loooong way, ugh....... just kiddin') and, as I always do, I'll tell you what I think!

it's fixed - thanks!