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Welcome to the Poker Math, Poker Odds, and Poker Probabilities Section.


Poker is a game of many skills, one must be able to read their opponents, look for betting patterns, be patient and manage their bankroll well. However, one thing that never can be separated from the game is math. Elementary knowledge in arithmetic is necessary to be able to calculate hand odds, pot odds and rakeback etc. To learn this, there are many tools available on the Net. For instance, if you wish to know your rake back at, say, Cake Poker, use a Rakeback calculator. PokerGob's Poker Math, Probabilities, and Poker Odds brought to you by RakeBrain.

Texas Hold'em Percentages, Odds and Probabilities Sponsored by RakeBrain.com

Probability Percentage Probability / Odds Against
Pair Pre-Flop 6 1 in 17 - 16:1
Suited cards Pre-Flop 24 1 in 4.2 - 3.2:1
Suited Connectors (e.g. KQ,87, 65 etc.) 4 1 in 25 - 24:1
AA or KK Pre-Flop 0.9 1 in 111 - 110:1
AK Pre-Flop 1.2 1 in 83 - 82:1
AKs Pre-Flop 0.3 1 in 332 - 331:1
At Least One Ace 16 1 in 6.25 - 5.25:1
AA, KK, QQ, JJ 1.8 1 in 56 - 55:1
Three of Same Card on Flop (e.g. 777) 0.24 1 in 425 - 424:1
AA versus KK Pre-Flop (heads up) 0.004 1 in 22560 - 22559:1
AK dealt Pre-Flop and hitting an A or K by the river 50 1 in 2 - even
QQ versus AK heads up till river 56 1 in 1.78 - 14:11 favorite
Two cards Pre-Flop that are Js or higher 9 1 in 11 - 10:1
Any Two Cards Unsuited 0.9 1 in 110 - 109:1
Probability Percentage Probability / Odds Against
Completing Flush With 2 Suited Cards and Flopping Draw 39 1 in 2.6 - 3:2
Completing Either a Flush or Open Ended Straight Draw Flopping Both 54 1 in 1.85
Completing Open Ended Straight (e.g. 87 Flop is 10-9-3) 34 1 in 2.9 - ~2:1
Flopping Two Pair and Improving to Full House by River 17 1 in 5.8 - ~5:1
Flopping Set and Improving to Full House - Quads (e.g. 55 Flop is 5-9-10 37 1 in 2.7- ~3:2
Probability Percentage Probability / Odds Against
Flopping a Set When You Hold A Pair Pre-Flop 12 1 in 8 - 7:1
Pairing Either Card on Flop (e.g. AQ Flop is Q-7-2) 32 1 in 3.125 - ~2:1
Flopping a Flush Draw Holding Two Suited Cards Pre-Flop 11 1 in 9 - 8:1
Improving from a Pair to Trips by the River (e.g. A7 Flop is 10-7-2) 22 1 in 4.7 - ~4:1
Flopping a Set When You Hold A Pair Pre-Flop 9 1 in 11 - 10:1
Making A Pair When You Hold Two Over Cards After Flop (e.g. KQ Flop is 9-7-2 26 1 in 3.9 - ~3:1
Two over cards and a gutshot improving to pair or straight 43 1 in 2.3 - 4:3
Completing a Gut Shot Straight by the River 17 1 in 6 - 5:1
Gutshot and pair improving to two pair or better 39 1 in 2.6 - 3:2
Completing a Backdoor Flush (e.g. 56 Flop Is Kd-7s-2c) 4 1 in 24 - 23:1
Completing a Runner Runner Straight (e.g. 56 Flop is Q-9-3) 1.5 1 in 68 - 67:1
Backdoor Flush and One Over Card improving to that pair or flush 17 1 in 6 - 5:1
Catching Ace on turn or river (A4 Flop Q63 KA) 13 1 in 8 - 7:1
Completing Backdoor Flush or Gutshot by river (e.g. Ac4c Flop is Kc-5d-3h) 21 1 in 4.8 - 3.8:1
Completing a Backdoor Flush with Two Over Cards improving to pair or flush 30 1 in 3.3 - 2.3:1
5 players on flop, that someone has an A when one is on board 58 1 in 1.7
4 players on flop, that someone has an A when one is on board 47 1 in 2.1
3 players on flop, that someone has an A when one is on board 35 1 in 2.9
2 players on flop, that someone has an A when one is on board 23 1 in 4.3
Completing a 1 Card Flush (e.g. Flop Is KcTc2c) 39 1 in 2.6 - 3:2
5 players in with paired board, chance of one of them having trips 43 1 in 2.4
4 players in with paired board, chance of one of them having trips 34 1 in 3
3 players in with paired board, chance of one of them having trips 26 1 in 4
2 players in with paired board, chance of one of them having trips 17 1 in 5.8

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