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CDPOKER SCHOOL - Probabilities

Being dealt statistics

Preflop:
Probability of being dealt a pocket pair5.9%
Probability of being dealt suited cards23.5%
Probability of being dealt AA0.45%
Probability of being dealt connecting cards15.7%

Flop:
Probability of hitting a three of a kind or quads at the flop when you hold a pocket pair11.8%
Probability you will make a pair at the flop, holding two unpaired cards in the hole32.4%
Probability of flopping a flush, holding two suited cards0.84%
Probability of flopping a flush draw, holding two suited cards11%

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 river16.5%
Probability of hitting a backdoor flush, holding two suited cards4.2%
Probability of hitting a flush on the river19.6%
Probability of hitting a straight on the turn17%
Probability of hitting a straight on the river17.4%

Winning probability between two hands:

Probability of a lower pocket pair beating a higher pocket pair18.5%
Probability of non-suited overcards beating a lower pocket pair45%
Probability of suited overcards beating a lower pocket pair47.3%
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 winsPocket 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 potPoker 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
$34.19AA
$24.13KK
$17.36QQ
$12.08JJ
$11.63AK suited
$8.65AK off suit
$8.32AQ suited
$7.7210 10
$5.69AJ suited
$5.47AQ off suit







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