Odds Of Flopping A Set
Here are some important probabilities in Omaha that returns in different situations. Knowledge about probabilities will help you to better evaluate situations in poker. You will , for example, know when you should call and when you shouldn't, and, vice versa, know when to fold and when the odds are in your favor.
Drawing hands probabilities | Odds | Percent |
---|---|---|
Double wraparound straight draw (e.g. hand: 9-8-5-4, flop: 7-6-x) | 0.48-1 | 68% |
Wraparound straight draw (e.g. hand: 8-5-4-x, flop: 7-6-x) | 0.67-1 | 60% |
Straight flush draw | 0.84-1 | 54% |
Hitting a full house with three pairs | 3-1 | 24% |
Hitting a full house with two pairs | 5.1-1 | 16.5% |
Hitting quads with a set | 21.5-1 | 4.5% |
Starting hands
There are many starting hands in Omaha (16.432 if not all suit combinations are counted), which makes it difficult to get an overview. Table 2 will hopefully increase that overview a bit.
Situation | Percent |
---|---|
A-A-K-K double suited to win against average hand | 73% |
A-A-K-K rainbow to win against average hand | 68% |
A-A-7-7 double suited to win against average hand | 72% |
A-A-7-7 rainbow to win against average hand | 67% |
A-A-J-T double suited to win against average hand | 76% |
A-A-J-T rainbow to win against average hand | 71% |
J-T-9-8 double suited to win against average hand | 56% |
J-T-9-8 rainbow to win against average hand | 49% |
The following Texas Holdem odds table highlights some common probabilities that you may encounter in Hold'em. It is not vital that you learn these probabilities, but it is useful to be aware of the chances of certain situations arising. Flopping a set (with pockets). 11.8%: 7.5 to 1: Paired Board: 2 players, probability of trips. A few places online state that the chances of flopping a set with pocket pairs is around 11.5 - 11.8%. However I cannot find an in-depth explanation of the calculation that would help me modify the calculation I will use in my program. Can someone please explain to me where I'm going wrong in. Odds of flopping 2 Pair or better with an unpaired starting hand = 4.1%. So, although it’s relatively unlikely we’ll flop exactly 2 Pair, we’ll actually flop Two Pair or better roughly once in every 25 flops we see. Unlike flopping Two Pair, the Two Pair plus odds, do change based on the type of hand. There are three cards on the flop, so three cards will be drawn from a total of 50 cards (we hold two of them in our hand already.) You have 7.5:1 odds of flopping a set (or quads). Catching set by the river with any two paired cards?
Comments
Exemple of a double suited hand: Q♥ A♥ 2♦ K♦
Exemple of a rainbow hand: Q♥ A♣ 2♠ K♦
The best Omaha hands are less bigger favorites against an average hand compared to Texas Hold'em.
In Texas Hold'em, common knowledge is that A-A is very big favorite against all other hands. In Omaha, A-A as a part of a hand is far from that strong. In general, an A-A-x-x hand versus a random four-card hand is a 70-30 favorite in average (if all the starting hands that are normally folded are excluded, the A-A-x-x hands will be even less favorites).
The probability of hitting a Set with pocket pairs increases to 18% from 11.8%, and the probability of hitting an open-ended Straight by the River also increases to 48% in 6+ Hold’em compared with 31.5% in traditional Hold’em. Let’s now have a look at some of the pre-flop all-in hand situations.
Made hands versus draws
A typical feature in an Omaha Hi game is a set against a hand with several drawing possibilities. The made hand will not be a very big favorite (sometimes it is an underdog), so the recommended strategy is to play fast and bet/raise the pot in these situations.
Situation | Percent |
---|---|
Top set against flush draw | 70%-30% |
Middle set against flush draw | 70%-30% |
Top set against flush draw + two pairs | 68%-32% |
Set against wraparound straight draw | 52%-48% |
Set against double wraparound straight draw | 53%-47% |
Comments
Factors that can affect the odds are for example blocking cards.
Flush draws versus straight draws
In Omaha, hands with flush draws are often more likely to win than straight draws.
Situation | Percent |
---|---|
Flush draw against wraparound | 60%-40% |
Flush draw against double wraparound | 55%-45% |
Comments
Since that many cards are in action, there are often combined possibilities, which makes it hard to give general percentages. A hand with a flush draw has mostly something else, like a pair or a straight draw as well.
Related article:Omaha strategy
My question is: what are the odds of flopping a set with the same pocket pair 3 times in a row?
The wizard answered a previous question about what are the odds of getting the same pocket pair 3 times in a row(.000142108 or 1 in 7037):
/forum/gambling/poker/31884-odds-of-same-pocket-pair-three-times-in-a-row/
So would I take this number and multiply it by the chances of flopping a set 3 times(.12 * .12 * .12 = .001728)? When I multiply those numbers together I get .00000024192 or 1 in 4,133,598.
By the way, I did come back from an 8 to 1 deficit to win the game, mostly due to those 7s!
The craziest thing happened to me while playing a home game online last night. I was heads up with a buddy of mine and was severely short stacked(I had around 8K he had around 65K). I got dealt pocket 7s and went all in and he quickly called with Queens. I hit a set on the flop to stay alive. Next hand I get 7s again and go all in and he calls with Q8. He hits the queen on the flop but I hit a set of 7s on the flop again to win the hand. The very next hand I get pocket 7s again and raise, my buddy calls. I flop a set of 7s a third time! When we get to the river, I win against his AK(he hit a K on the flop to stay in the hand).
My question is: what are the odds of flopping a set with the same pocket pair 3 times in a row?
The probability of getting a third card matching a pocket pair in the flop is 1 - (48/50 x 47/49 x 46/48) = 144 / 1225.
The probability of getting the same pocket pair in 3 consecutive hands is 1/17 (the probability of getting a pocket pair in the first hand) x 1/221 (the probability of getting the same pocket pair in the next hand) x 1/221 (the probability of getting the same pocket pair in the third hand) = 1 / 830,297.
OOPS - corrections are in red
The overall probability = (144 / 1225)^3 x 1 / 830,297 = about 1 / 511,000,000
Odds Of Flopping A Set In Omaha
Note that this applies to three specific hands, and not necessarily any three consecutive hands in a session.Assuming you are dealt a pocket pair, the probability of getting a third card on the flop and then being dealt the same pair and getting a third card on the flop in both of the next two hands is this multiplied by 17, or about 1 / 30,000,000
The probability of getting a third card matching a pocket pair in the flop is 1 - (48/50 x 47/49 x 46/48) = 144 / 1225.
The probability of getting the same pocket pair in 3 consecutive hands is 1/17 (the probability of getting a pocket pair in the first hand) x 1/221 (the probability of getting the same pocket pair in the next hand) x 1/221 (the probability of getting the same pocket pair in the third hand) = 1 / 830,297.
The overall probability = 144 / 1225 x 1 / 830,297 = about 1 / 7,063,290.
Note that this applies to three specific hands, and not necessarily any three consecutive hands in a session.
Assuming you are dealt a pocket pair, the probability of getting a third card on the flop and then being dealt the same pair and getting a third card on the flop in both of the next two hands is this multiplied by 17, or about 1 / 415,488.
you need to cube the 144/1225 term, no?
Why, yes - yes, I do. Corrections to the original post have been made.
Odds Of Flopping A Straight
Thanks for the detailed response! So for the purposes of bragging, I can say that this was a 1 / 511,000,000 chance of happening then? In other words, I had a better chance of winning Powerball and will probably never see it again?
1 / 511,000,000 is for three specific hands. If you're talking three consecutive hands in general when you have been dealt a pair, it's 1/17 of that, or about 1 / 30,000,000.