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Texas Hold'em Probabilities

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 19.1%
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