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Probabilities

Being dealt statistics

Preflop:

Probability of being dealt a pocket pair 5.9%

Probability of being dealt suited cards 23.5%

Probability of being dealt AA 0.45%

Probability of being dealt connecting cards 15.7%

Flop:

Probability of hitting a three of a kind or quads at the flop when you hold a pocket pair 11.8%

Probability you will make a pair at the flop, holding two unpaired cards in the hole 32.4%

Probability of flopping a flush, holding two suited cards 0.84%

Probability of flopping a flush draw, holding two suited cards 11%

Turn - river:

Probability of hitting a flush draw (both turn/river, needing one card to hit) 35%

Probability of hitting an open-ended straight draw (i.e. 4 straight cards, need one on either end to hit on turn or river) 31.5%

Probability of hitting a gutshot draw (inside straight draw) on turn or river 16.5%

Probability of hitting a backdoor flush, holding two suited cards 4.2%

Probability of hitting a flush on the river 19.6%

Probability of hitting a straight on the turn 17%

Probability of hitting a straight on the river 17.4%

Winning probability between two hands:

Probability of a lower pocket pair beating a higher pocket pair 18.5%

Probability of non-suited overcards beating a lower pocket pair 45%

Probability of suited overcards beating a lower pocket pair 47.3%

Probability of a dominated hand winning (e.g. AJ vs. AK) 24%

Probability of a severely dominated hand winning that is suited (e.g. AA vs. ATs) 12.7%

Probability of an unsuited severely dominated hand winning (e.g. AA vs. ATo) 7.2%

Probability of two unsuited undercards beating two unsuited overcards (e.g. JT vs. AK) 36.7%

Probability of two suited undercards beating two unsuited overcards (e.g. JTs vs. AK) 41%

Probability of two, unsuited, non-connecting undercards beating two suited, connecting overcards (e.g. T4o vs. AKs) 32.4%

How often does a certain hole cards wins:

The percentage that this hand wins Pocket cards

75% AA

63.5% KK

56.1% QQ

50% JJ

51.1% AK suited

48.1% AK off suit

46.5% AQ suited

43.5% 10 10

41.7% AJ suited

42.4% AQ off suit

Most common winning hands:

The percentage that this hand wins the pot Poker hand

31% Two pairs

27% Pair

12% Three of a kind

9% Strait

9% Flush

9% Full house

2% High card

1% Four of a kind

1% Strait flush

1% Royal flush

Profit expectation from pocket cards:

Profit expectation for limit $5 - $10 T.H. Pocket cards

$34.19 AA

$24.13 KK

$17.36 QQ

$12.08 JJ

$11.63 AK suited

$8.65 AK off suit

$8.32 AQ suited

$7.72 10 10

$5.69 AJ suited

$5.47 AQ off suit

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