Basic texas holdem poker odds
There are a possible 169 starting hands in texas holdem poker with 7 and 2 unsuited being the worst possible pocket hand so if your unlucky enough to be dealt those cards you may aswell fold straight away, there is little point calling and getting involved in a dog fight if you flop a pair of sevens, chances of being dealt seven and two unsuited stand at 109 - 1.
The odds of improving a pocket pair to three of a kind on the flop are 7.5 - 1, while the odds of improving with three of a kind or better by the river are 4.2 - 1 with the chances of improving your pocket pair to a full house on the flop is 136 - 1 with the near impossible of flopping quads on the flop at 407 - 1
Ok now lets get more realistic and look at the odds of improving your two unpaired pocket cards, flopping a pair with one of your cards is 2.5 - 1 with a 49 - 1 chance of matching both your pocket cards and improving to two pair on the flop with a 11 - 1 chance of turning those two pairs into a full house by the river.
The odds of improving two suited pocket cards into a flush are 118 - 1 on the flop. the odds of flopping a flush draw with suited pocket cards is 8.1 - 1 or hitting a flush by the river with any two suited pocket cards pre flop is 15 - 1 while making a flush by the river with two unsuited pocket cards is a 53 - 1 chance and flopping a flush draw with unsuited pocket cards is a 88 - 1 chance.
The odds of hitting pocket aces are 220 - 1 while the odds of hitting any pocket pair are 16 - 1.
AA, 220 - 1
KK, 110 - 1
QQ, 72.5 - 1
JJ, 54.2 - 1
TT, 43.0 - 1
99, 35.8 - 1
88, 30.5 - 1
77, 26.6 - 1
66, 23.6 - 1
55, 21.1 - 1
44, 19.0 - 1
33, 17.4 - 1
22, 16.0 - 1
Here are some pre flop probabilities.
Ace with less than Jack, suited 35.8 - 1
Ace with less than Jack, offsuit 11.3 - 1
Any hand with a Pair or an Ace 3.91 - 1
Any pocket pair or two cards ten or higher 4.5 - 1
Any pocket pair of sevens or higher or two cards ten or higher 5.4 - 1
Suited cards pre flop 3.2 - 1
Suited connectors pre flop 24 - 1
AK pre flop 82 - 1
AK suited pre flop 331 - 1
Ace in pocket pre flop 5.25 - 1
improving your pocket cards on the flop.
Pair - Three of a kind 10.1 - 1
Pair - Full house 136 - 1
Pair - Four of a kind 407 - 1
Any two unpaired cards - Two pairs 48.5 - 1
Any two unpaired cards - A pair 2.1 - 1
AK suited - Royal Flush 19599 - 1 (0.01%)
Two suited cards - Flush 119-1
Two suited cards - Four cards to a flush 8.1 - 1
Any two unsuited cards - Four cards to a flush 88 - 1
Two connected unsuited cards - Straight 76 - 1
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