Odds Of Making A Poker Hand

If the poker hand simulator says you only win the hand 19% (4 to 1 odds) of the time, but you had to call a pot-sized bet to see the river (2 to 1 pot odds), then you shouldn’t have made the call. You can also use the poker calculator to help commit common odds and situations to memory. 3 Card Poker Hand Probabilities. Three card poker is always played with one deck of 52 cards. There are a total of 22,100 different ways that three cards can be dealt. Using a bit of math we can determine the probability of each hand. The table below shows the ways, probabilities and odds for each hand.

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.

The poker hand probability chart shows the odds of making a specific hand type by the showdown. It is valid for any 7-card poker variant, including Texas Holdem and 7 Card Stud. The chart assumes that you have a random hole cards. Some hole cards (for example pocket pairs), are more likely to make a good hand by the river.
Odds can be expressed both “for” and “against”. Let’s use a poker example to illustrate. The odds against hitting a flush when you hold four suited cards with one card to come is expressed as approximately 4-to-1. This is a ratio, not a fraction.

Table 1. **Playing situations**
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.

Table 2. **Starting hand versus average hand**
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%

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).

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.