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The following chart describes the mathematical probability of obtaining a
particular hand in Texas Holdem. This chart presents this chance in terms
of both percentage and odds. Committing these to memory, or having them in
a handy chart next to you (while you are playing poker), can be a very valuable
asset.
| Card Scenario | % Chance of Obtaining | Odds of Obtaining |
|---|---|---|
| Pre-flop Pair | 6 | 1 in 17 |
| Pre-flop Suited cards | 24 | 1 chance in 4.2 |
| Suited Connectors (3/4, QJ, etc.) | 4 | 1 chance in 25 |
| Pre-Flop AA or KK | .9 | 1 chance in 111 |
| Pre-flop AK | 1.2 | 1 chance in 83 |
| Pre-flop AK suited | .3 | 1 chance in 332 |
| Pre-flop Ace in hand | 16 | 1 chance in 6.25 |
| JJ, QQ, KK, AA | 1.8 | 1 chance in 56 |
| Flop being all one kind (777, JJJ, etc.) | .24 | 1 chance in 425 |
| Pre-flop AA versus KK | .004 | 1 chance in 22,560 |
| Pre-flop AK and hitting an A or K by the river | 50 | 1 chance in 1.78 |
| AK versus QQ heads up until river | 56 | 1 chance in 2 |
| 2 cards pre-flop that are J's or better | 9 | 1 chance in 11 |
| Pre-flop Beer Hand (7/2 unsuited) or any other unsuited 2-cards | .9 | 1 chance in 110 |
| - | - | - |
| Completing of 4 flush (Js10s Flop Qs4sAd 6h Ks | 39 | 1 chance in 2.6 |
| Open ended Straight Flush resulting in straight or flush by the river | 54 | 1 chance in 1.85 |
| Completing Open ended Straight (JT Flop Q94 86) | 34 | 1 chance in 2.9 |
| 2 Pair on flop which becomes a Full House | 17 | 1 chance in 1.58 |
| 3-of-a-kind (set) on flop which becomes Full House or 4-of-a-kind | 37 | 1 chance in 2.7 |
| - | - | - |
| Pocket pair which becomes 3-of-a-kind during flop | 12 | 1 chance in 8 |
| No pair pre-flop which becomes a pair on the flop (w/ either card) | 32 | 1 chance in 3.125 |
| 2 will flop if you have suited cards | 11 | 1 chance in 9 |
| 1 pair on flop which becomes 2 pair or 3-of-a-kind by river | 22 | 1 chance in 4.7 |
| Pocket pair which becomes 3-of-a-kind after flop | 9 | 1 chance in 11 |
| 2 over cards which becomes a pair by river | 26 | 1 chance in 3.9 |
| Gutshot and 2 over cards which becomes a straight or a pair | 43 | 1 chance in 2.3 |
| Gutshot straight draw by the river | 17 | 1 chance in 6 |
| Pair and Gutshot which becomes 2 pair or better | 39 | 1 chance in 2.6 |
| Backdoor Flush (5s6s Flop 7sAh9c KsJs) | 4 | 1 chance in 24 |
| Runner Runner Straight (56 Flop 3TQ 47) | 1.5 | 1 chance in 68 |
| 1 Over Card and Back Door Flush which becomes flush or that pair | 17 | 1 chance in 6 |
| Getting an A on the turn or on the river (A4 Flop Q63 KA) | 13 | 1 chance in 8 |
| Gutshot and Backdoor Flush improving to one by river (Ac4c Flop 3s5cKs) | 21 | 1 chance in 4.8 |
| 2 Over Cards and Backdoor Flush which becomes flush or pair | 30 | 1 chance in 3.3 |
| 5 players on flop, and a player has an Ace when one is on board | 58 | 1 chance in 1.7 |
| 4 players on flop, and a player has an Ace when one is on board | 47 | 1 chance in 2.1 |
| 3 players on flop, and a player has an Ace when one is on board | 35 | 1 chance in 2.9 |
| 2 players on flop, and a player has an Ace when one is on board | 23 | 1 chance in 4.3 |
| 3 of one suit on board and another coming (QsTs2s) if you have one | 39 | 1 chance in 2.6 |
| 5 players paired, chance of 1 of them having it | 43 | 1 chance in 2.4 |
| 4 players paired, chance of 1 of them having it | 34 | 1 chance in 3 |
| 3 players paired, chance of 1 of them having it | 26 | 1 chance in 4 |
| 2 players paired, chance of 1 of them having it | 17 | 1 chance in 5.8 |