Probability Of Straight Flush Texas Holdem
Texas Hold'em Poker probabilities. When calculating probabilities for a card game such as Texas Hold'em, there are two basic approaches. The first approach is to determine the number of outcomes that satisfy the condition being evaluated and divide this by the total number of possible outcomes. The royal flush is a case of the straight flush. It can be formed 4 ways (one for each suit), giving it a probability of 0.000154% and odds of 649,739: 1. When ace-low straights and ace-low straight flushes are not counted, the probabilities of each are reduced: straights and straight flushes each become 9/10 as common as they otherwise would be. 88ProBet is the preferred online betting sports and live Odds Of Making A Straight Flush In Texas Holdem casino in Singapore. We gained our popularity through the creation of numerous online casino games, guaranteed payout when you win at any of our jackpot games, sportsbook betting, live Odds Of Making A Straight Flush In Texas Holdem casino games. The probability of the turn card not being a heart but getting a heart on the river is (38/47) (9/46) &asymp 0.16. Therefore the total probability of getting a flush is approximately 0.19 + 0.16 = 0.35. We can also do this problem by calculating the probability of not getting a flush. The chance of not drawing a flush on either the turn or the river is (38/47) (37/46) &asymp 0.65, so the probability of getting a flush is 1 - 0.65 = 0.35, the same value calculated above.
It is a common misconception that flush is more likely to hit. If you also believe that to be the case, then you are wrong. Well, maybe you are right, but it depends on which perspective you look at it. Let me explain.
As long as you start counting the hand from preflop, then you will hit the straight more often than flush. But if you have a flush draw on flop or turn, then you will hit a flush more often compared to when you have an open-ended straight draw, and you hit a straight.
There is a reason why flush has a higher ranking in poker than straight. It will hit less often. Look at this chance to win a straight and to hit a flush – from Wikipedia.
Chances Of Royal Flush Texas Holdem
You will hit a flush every 0.20%
of the time. So once every 509 hands. While you will hit a straight about 0.40% of the time or once every 255 hands, so you will hit almost 2 straights for every 1 flush that you hit.Table of ContentsWhy is it easier to make a flush than astraight?
But after all that I have written, why is it easier to hit a flush than a straight?
Well postflop, if you hold a flush draw, you have more outs to hit the draw than holding the open-ended straight draw and hitting the straight. You will have 9 outs to hit a flush on the flop or turn if you have a flush draw.
From flop to the river, we have 9 outs twice to hit a flush, which is roughly 38%, from turn to the river we have about 18% (9 outs once). On the other hand, if you hold an open-ended straight draw, you will have only 8 outs to hit it.
What many people are forgetting is that you will get the flush draw less often than you will open-ended straight draw. Getting a suited hand preflop doesn’t happen super often. You will have a flush draw on the flop only 5.1% of the time.
One thing that is often neglected is you not accounting in the times when you have a gutshot, and you hit it. It seems it doesn’t happen often, but you will usually have 4 outs to hit a straight, which is around 16% from flop to river. Not something we should forget about. On top of that, there are also some double gutters, which also gives you 8 outs to hit your straight.
So only looking from the postflop perspective, it can feel that it is easier to hit a flush than a straight, but as I explained, that can often be misleading. Straight will happen more often.
Let’s say you usually play connectors and therefore your chances to hit your straight draw increase. You would have flopped 8 outs straight draw (either open-ended or a double gutter straight draw) about 10.5% of the time on the flop.How often will an opponent flop a flush draw?
A player will have a flush draw on the flop about 5.1% of the time strictly math speaking and accounting in all the hands. But we know that players don’t play every single hand, and they are more likely to fold more off suited hand than suited hands preflop.
All this makes an opponent hit a flush draw roughly 10% of the time on the flop.Which makes more money: Flush vs. straight?
As expected, flush will make you more money. In my case, not double the amount, but you will make more money with it. Why not the double, you might wonder? Well, if you have a straight, usually you will be willing to stack off with top straight or second nut straight sometimes 3rd nut straight. But when it comes to flush, you will lose quite some money even if you hold a low flush, and it can be less than 3rd nuts. On top of that, not many players will be willing to stack off with the top two or a set on a possible flush board, while the same players don’t have a problem committing with the same hands on possible straight board.
All this reduces your winrate by a little. But you, as you can see from my graph, will still make substantially more profit with a flush compared to straight. They are both great hands; it is just that a flush is stronger.
Now your winrate will, of course, differ a bit. If you have nut flush yo will win more than my 2,000bb/100 hands. If you have a lower flush, then it will be lower. Now sometimes higher flushes will beat us. A scenario of when we hit a flush, and our opponent also hits a flush is not that uncommon, and if you multi table, it will happen on semi-frequent occasions.
The same goes for a straight. Nut straight will give you the most money of any straight. You will still make decent money with 2nd nut straight, just less.
Scenarios, where we hit backdoor straight, will be nicely profitable since it will be harder for an opponent to put us on a straight, as there was no apparent straight draw present when we started betting on the flop. If you want to read more about straight backdoor draws, I have this article I have for you.
What are the odds of getting straight flush?
Odds of hitting a straight flush is so low that it almost doesn’t make sense to write it in percentages. It is a 0.00139% chance you will hit a straight flush. This is 72,192:1 odds against hitting it. SO only once every 72,000 hands you will hit the second most powerful hand in poker.
What are the odds of getting a royal flush?
Hitting a royal flush is even harder than a straight flush. The royal flush is the strongest hand you can get in poker. Your chances of hitting it are 0.000154% of the time, or once every650,000 hands (odds against of 649,740:1 to be precise).
I have been dealt quite many royal flushes in my poker career, and frankly, hitting one doesn’t feel special anymore. But I remember that when I hit it for the first time, I was ecstatic for some time. That is how rare the royal flush is.
Does a straight beat a flush?
Poker hand rankings go from strongest to weakest:
- Royal flush
- Straight flush
- Four of a kind
- Full house
- Flush
- Straight
- Three of a kind
- Two pair
- One pair
- No pair (high card)
You can see that straight doesn’t beat a flush, but it does beat many other hands, making it a powerful hand on right boards. When the board is not paired, and no flush can be present, then if you hold the highest straight, you will have the best hand.
What are the odds of getting pocket aces?
Chances of being dealt pocket aces are slightly less than 0.5%. Exactly once every 221 hands, you will get the rockets. The number of players on the table doesn’t matter. There are still 52 cards in the deck, no matter how many players are at the table.
Probability Of Straight Flush Texas Holdem Odds
If you wonder how often you can expect to win with AA depending on the number of opponents and different hands you are up against, then read this post.
What are the odds of an ace flop?
We all know it, that horrible feeling when you hope ace doesn’t show up on the flop, but it seems like it always does. It doesn’t always come. But you will see ace on the flop 42% of the time, which is quite often. But don’t worry on some occasions you will also hit two flushes, sets or straights yourself. That is why pocket kings have around 70% (and not only 58%) to win against Ax.
Our common flop odds chart shows the exact odds of flopping specific hand or draw types with various hole card groupings in Texas Holdem.
Remember that every mistake you make preflop will only be magnified on later streets. The chart below clearly shows that playing weak hole cards (for example three gapped connectors) will rarely give you the best hand on the flop.
This is why you should play only a narrow range of the best hole cards and fold everything else. It is especially important when you are a beginner. The more weak hands you play, the more money you will lose in the long term.
Common flop odds chart
| Hole Cards | Flopping | Odds |
| Unpaired Hole Cards | exactly one pair by pairing a hole card | 26.939% |
| exactly two pair by pairing a hole card and pairing on the board | 2.02% | |
| exactly two pair by pairing each of your hole cards | 2.02% | |
| exactly trips by flopping two cards to a hole card | 1.347% | |
| exactly a full house, trips of one hole card and pairing the other | 0.092% | |
| exactly four of a kind, three cards to one of your hole cards | 0.01% | |
| Paired Hole Cards | exactly two pair by pairing the board | 16.163% |
| exactly trips by flopping a set for your pocket pair | 10.775% | |
| exactly a full house, a set to your hole pair and pairing the board | 0.735% | |
| exactly a full house, by the board tripping up | 0.245% | |
| exactly four of a kind, two cards to your hole pair | 0.245% | |
| Two Unsuited Cards | a flush draw | 2.245% |
| Two Suited Cards | a flush (including straight flush) | 0.842% |
| a flush draw | 10.944% | |
| Connectors (54 to JT) | a straight (including straight flush) | 1.306% |
| an 8 out straight draw (excluding gutshots) | 10.449% | |
| One Gapped Connectors (53 to QT) | a straight (including straight flush) | 0.98% |
| an 8 out straight draw (excluding gutshots) | 8.08% | |
| Two Gapped Connectors (52 to KT) | a straight (including straight flush) | 0.653% |
| an 8 out straight draw (excluding gutshots) | 5.224% | |
| Three Gapped Connectors (A5 to AT) | a straight (including straight flush) | 0.327% |
| an 8 out straight draw (excluding gutshots) | 2.612% |
More articles on poker probability:
Poker odds calculator
Poker outs and odds
Pot odds and expected value
Sklansky bucks
Implied odds
Reverse implied odds
Poker hand probability chart
Common flop odds chart
Pocket pairs - flopping overcards odds
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