Texas Holdem Odds
Basic statistics
| You're holding a pair before the flop | 16 to 1 |
| You're holding suited cards before the flop | 3.25 to 1 |
| You're holding 2 kings or 2 aces before the flop | 110 to 1 |
| You're holding ace king before the flop | 82 to 1 |
| You're holding one ace before the flop | 6 to 1 |
| If you have 4 parts of the flush, after the flop, you will make a flush | 1.85 to 1 |
| If you have 4 parts of an open ended straight flush, after the flop, you will make a straight flush | 11 to 1 |
| If you have 4 parts of an open ended straight flush, after the flop, you will make at least a straight | 0.85 to 1 |
| If you have 2 pair after the flop, you will make a full house or better | 5 to 1 |
| if you have a three of a kind after the flop, you will make a full house or better | 2 to 1 |
| if you hold a pair, at least one more of that kind will flop | 7 to 1 |
| if you hold no pair,you will pair at least one of your cards on the flop | 2 to 1 |
| if you hold 2 suited cards, two or more of that suite will flop | 7 to 1 |
| if you begin suited, and stay trough the river, 3 more suited cards will come, but not 4 or 5 | 16 to 1 |
| if you begin paired, and stay through the river, at least one more of your kind will turn up | 4 to 1 |
Starting hands before the flop
| AA | 220 to 1 | AKs | 331 to 1 |
| KK,QQ or JJ | 73 to 1 | AKo | 110 to 1 |
| TT,99,88,77,66 | 43 to 1 | AQs,AJs | 165 to 1 |
| 55,44,33,22 | 54 to 1 | AQo,AJo | 54 to 1 |
| KQs | 331 to 1 | ATs-A2s | 36 to 1 |
| KQo | 110 to 1 | ATo-A2o | 11 to 1 |
| Any pair | 16 to 1 | 2 suited connectors | 46 to 1 |
| 2 Suited cards | 3 to 1 | 2 offsuited connectors | 15 to 1 |
Flops when you're holding a pair
| Four of a kind | 407 to 1 |
| Full house, with your pair being full | 1,632 to 1 |
| Ace-your card and a smaller card | 55 to 1 |
| Full house, with 3 similar cards on the flop | 444 to 1 |
| Three suited cards of the same color you're holding | 44 to 1 |
| Three suited cards of a different color | 33 to 1 |
| Open ended straight option | 315 to 1 |
| Any flop with at least 1 card, giving you 3 of a kind | 8 to 1 |
Longshots
| if you hold suited cards, a flush will flop | 118 to 1 |
| if you hold a pair, four of a kind will flop | 407 to 1 |
| If you hold 6-5 off suit, a straight will flop | 76 to 1 |
| If you hold 7-5 off suit, a straght will flop | 101 to 1 |
| If you hold 8-5 off suit, a straight will flop | 152 to 1 |
| If you hold 9-5 offsuit, a straight will flop | 305 to 1 |
| if you hold 9-8 suited, a straight flush will flop | 4,900 to 1 |
| if you hold 9-7 suited, a straight flush will flop | 6,500 to 1 |
| if you hold 9-6 suited, a straight flush will flop | 9,800 to 1 |
| if you hold 9-5 suited. a straight flush will flop | 19,600 to 1 |
| No one holds an ace or a king in a 10 handed game | 70 to 1 |
| Headsup, both players hold pocket aces | 271,000 to 1 |
| You will not hold a pair or an ace for the next 20 hands | 94 to 1 |
| You will not hold a pair or an ace for the next 50 hands | 88,000 to 1 |
| You will hold a pair of aces before the flop each of the next 4 hands | 2,500,000,000 to 1 |
Absence of aces before the flop
| Players | No player has an ace | No player has an ace exept for you | If you have no ace, the probability that no other players have an ace |
| 2 | 72% | 88% | 84% |
| 3 | 60% | 77% | 71% |
| 4 | 50% | 68% | 59% |
| 5 | 41% | 59% | 49% |
| 6 | 34% | 50% | 40% |
| 7 | 27% | 43% | 32% |
| 8 | 22% | 36% | 26% |
| 9 | 17% | 31% | 20% |
| 10 | 13% | 25% | 16% |
