Probability Of A Straight Flush Texas Holdem
- Chances Of Hitting A Royal Flush In Texas Holdem
- Probability Of A Royal Flush Texas Holdem
- Texas Holdem Straight Rules
- Chances Of A Straight Flush In Texas Holdem
- Texas Holdem Probability Calculator
In Texas Holdem poker, it’s essential to understand the probabilities of the most common situations. This knowledge can help you make positive decisions under some difficult circumstances. The probability of many events in Texas Holdem can be determined by direct calculation. This article will show you one simple method to compute the probabilities for many commonly occurring events in the game of Texas Holdem and provides some probabilities for specific situations. In most cases, the Texas Holdem probabilities are approximations due to rounding.
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Below are two simple and easy methods to estimate your equity on the Flop and/or Turn. They work best when you deal with small numbers of outs. Also note that Multiples of 2 are generally more accurate than Multiples of 4; however, both give very good estimates.
Multiples of 4 – To approximate the equity you have on the Flop, multiply your number of outs by 4.
Example: You have an open-ended straight draw on the Flop. That’s 8 outs, so 8 x 4 = 32 percent to win by the River. The actual number is 31.5 percent (This is if you get to see both the Turn and River cards).
Multiples of 2 – To approximate your equity on the Turn, multiply your number of outs by 2.
Example: You have an open-ended straight draw on the Turn. That’s 8 outs, so 8 x 2 = 16 percent to win by the River. The actual number is 17.4 percent.
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Probabilities for Texas Holdem Poker
- Why Poker Odds Matter. Why Odds Matter To any good Texas Holdem players these odds come naturally. They may not know the exact percentage but they instinctively know their odds. Referencing this table is a great way to understand your percentages if you are a new player or if you want to calculate your pot odds.
- Poker Math & Probabilities (Texas Hold'em) The following tables provide various probabilities and odds for many of the common events in a game of Texas hold 'em. Odds% Example Win% 330-to-1 0.30% JJ v 77 80% v 20%. 15-to-1 6.50% Straight & Flush Draw Straight / Flush or Better 15 Three of a Kind Hope to Make Full House.
The following tables are the probabilities of the most common situations in Texas Holdem Poker.
Chances Of Hitting A Royal Flush In Texas Holdem
1. The probabilities of improving the hand after the Flop and the Turn with respect to the number of outs.
| Number of Outs | After the Flop 2 Cards to Come | After the Turn 1 Card to Come |
| 1 | 4.3 | 2.2 |
| 2 | 8.4 | 4.2 |
| 3 | 12.5 | 6.5 |
| 4 | 16.51 | 8.7 |
| 5 | 20.3 | 10.9 |
| 6 | 24.1 | 13.0 |
| 7 | 27.8 | 15.2 |
| 8 | 31.52 | 17.4 |
| 9 | 35.03 | 19.6 |
| 10 | 38.4 | 21.7 |
| 11 | 41.7 | 24.0 |
| 12 | 45.0 | 26.1 |
| 13 | 48.1 | 28.3 |
| 14 | 51.2 | 30.4 |
| 15 | 54.14 | 32.6 |
| 16 | 57.0 | 34.3 |
| 17 | 59.8 | 37.0 |
| 18 | 62.4 | 39.1 |
| 19 | 65.0 | 41.3 |
| 20 | 67.5 | 43.5 |
1 Two pair or gut-shot draw
2 Straight draw
3 Flush draw
4 Straight flush draw
2. The number of outs and probabilities of the most common situations.
| Number of Outs | Drawing Hand | After the Flop 2 Cards to Come | After the Turn 1 Card to Come |
| 4 | Two pair needing a full house; an inside straight draw | 16.5 | 8.7 |
| 6 | Two overcards needing to make a pair | 24.1 | 13.0 |
| 8 | Open-ended straight draw | 31.5 | 17.4 |
| 9 | Flush draw | 35.0 | 19.6 |
| 11 | Flush draw plus a pair needing to improve to trips | 41.7 | 24.0 |
| 12 | Flush draw plus an inside straight draw | 45.0 | 26.1 |
| 15 | Flush draw plus open-ended straight draw | 54.1 | 32.6 |
3. The probabilities of your Pre-Flop cards.
| Pocket Cards: | Percentage (%) |
| AA | 0.45 |
| Any pair | 5.9 |
| AK suited | 0.30 |
| AK off suit | 0.90 |
| At least one ace | 14.9 |
| Any two cards suited | 23.5 |
4. The probabilities of improving your hand on the Flop.
| Your Hold | Flop Gives You | Percentage (%) |
| Pocket pair | Three of a kind | 9.0 |
| Pocket pair | Four of a kind | 0.24 |
| Pocket pair | Full house | 0.73 |
| Any two unpaired cards | Two pairs | 2.0 |
| Any two unpaired cards | A pair | 32.4 |
| Two suited cards | Flush | 0.84 |
| Two suited cards | Four cards to a flush | 10.9 |
| Any two unsuited cards | Four cards to a flush | 1.12 |
| Two connected off suit cards (4,5 to T,J) | Straight | 1.31 |
5. The probabilities of improving your hand on the Turn.
| You Have | Turn Gives You | Percentage (%) |
| Four cards to a flush | Flush | 19.1 |
| Open ended four card straight | Straight | 17.0 |
| Gut shot straight draw | Straight | 8.5 |
| Three of a kind | Four of a kind | 2.1 |
| Two pair | Full house | 8.5 |
| A pair | Three of a kind | 4.3 |
| Nothing | A pair with a pocket card | 12.8 |
Probability Of A Royal Flush Texas Holdem
6. The probabilities of improving your hand on the River.
| You Have | River Gives You | Percentage (%) |
| Four cards to a flush | Flush | 19.6 |
| Open ended four card straight | Straight | 17.4 |
| Gut shot straight draw | Straight | 8.7 |
| Three of a kind | Four of a kind | 2.2 |
| Two pair | Full house | 8.7 |
| A pair | Three of a kind | 4.3 |
| Nothing | A pair with a pocket card | 13.0 |
Texas Holdem Straight Rules
7. The probabilities of improving your hand from the Flop to the River.
Chances Of A Straight Flush In Texas Holdem
| You Have | Turn or River Gives You | Percentage (%) |
| Four cards to a flush | Flush | 35.0 |
| Three cards to a flush | Flush | 4.2 |
| Open ended four card straight | Straight | 32.0 |
| Gut shot straight draw | Straight | 17.0 |
| Three of a kind | Four of a kind | 4.3 |
| Two pair | Full house | 17.0 |
| A pair | Four of a kind | 0.09 |
| A pair | Three of a kind | 8.4 |
8. The probabilities of the Table Flop.
Texas Holdem Probability Calculator
| The Table Flops | Percentage (%) |
| Three of a kind | 0.24 |
| A pair | 17.0 |
| Three suited cards | 5.2 |
| Two suited cards | 55.0 |
| No suited cards | 40.0 |
| Three cards to a straight | 3.5 |
| Two cards to a straight | 40.0 |
| No straight cards | 56.0 |
| Example drawing to | Outs | Make on turn | Make on river | Make on turn or river | |||
|---|---|---|---|---|---|---|---|
| Prob. | Odds | Prob. | Odds | Prob. | Odds | ||
| Inside straight flush; Four of a kind | 1 | 0.0213 | 46.0-1 | 0.0217 | 45.0-1 | 0.0426 | 22.5-1 |
| Open-ended straight flush; Three of a kind | 2 | 0.0426 | 22.5-1 | 0.0435 | 22.0-1 | 0.0842 | 10.9-1 |
| High pair | 3 | 0.0638 | 14.7-1 | 0.0652 | 14.3-1 | 0.1249 | 7.01-1 |
| Inside straight; Full house | 4 | 0.0851 | 10.8-1 | 0.0870 | 10.5-1 | 0.1647 | 5.07-1 |
| Three of a kind or two pair | 5 | 0.1064 | 8.40-1 | 0.1087 | 8.20-1 | 0.2035 | 3.91-1 |
| Either pair | 6 | 0.1277 | 6.83-1 | 0.1304 | 6.67-1 | 0.2414 | 3.14-1 |
| Full house or four of a kind; (see note) Inside straight or high pair | 7 | 0.1489 | 5.71-1 | 0.1522 | 5.57-1 | 0.2784 | 2.59-1 |
| Open-ended straight | 8 | 0.1702 | 4.88-1 | 0.1739 | 4.75-1 | 0.3145 | 2.18-1 |
| Flush | 9 | 0.1915 | 4.22-1 | 0.1957 | 4.11-1 | 0.3497 | 1.86-1 |
| Inside straight or pair | 10 | 0.2128 | 3.70-1 | 0.2174 | 3.60-1 | 0.3839 | 1.60-1 |
| Open-ended straight or high pair | 11 | 0.2340 | 3.27-1 | 0.2391 | 3.18-1 | 0.4172 | 1.40-1 |
| Inside straight or flush; Flush or high pair | 12 | 0.2553 | 2.92-1 | 0.2609 | 2.83-1 | 0.4496 | 1.22-1 |
| 13 | 0.2766 | 2.62-1 | 0.2826 | 2.54-1 | 0.4810 | 1.08-1 | |
| Open-ended straight or pair | 14 | 0.2979 | 2.36-1 | 0.3043 | 2.29-1 | 0.5116 | 0.955-1 |
| Open-ended straight or flush; Flush or pair; Inside straight, flush or high pair | 15 | 0.3191 | 2.13-1 | 0.3261 | 2.07-1 | 0.5412 | 0.848-1 |
| 16 | 0.3404 | 1.94-1 | 0.3478 | 1.88-1 | 0.5698 | 0.755-1 | |
| 17 | 0.3617 | 1.76-1 | 0.3696 | 1.71-1 | 0.5976 | 0.673-1 | |
| Inside straight or flush or pair; Open-ended straight, flush or high pair | 18 | 0.3830 | 1.61-1 | 0.3913 | 1.56-1 | 0.6244 | 0.601-1 |
| 19 | 0.4043 | 1.47-1 | 0.4130 | 1.42-1 | 0.6503 | 0.538-1 | |
| 20 | 0.4255 | 1.35-1 | 0.4348 | 1.30-1 | 0.6753 | 0.481-1 | |
| Open-ended straight, flush or pair | 21 | 0.4468 | 1.24-1 | 0.4565 | 1.19-1 | 0.6994 | 0.430-1 |