Poker Hand Odds Chart
5 Card Poker Hand Odds
Poker Odds Of Making Hands

These types of hands can be very difficult to play, especially if you are facing bets and raises and need to decide whether or not to call. However, by the end of this article you should be fully aware of how to play drawing hands, and know when to fold and when to call when. If you ever wanted to know some of the odds and probabilities of Texas hold'em poker, from the chances of flopping a flush (0.8%) or set (12%) to the odds of an overcard coming on the flop when.

A poker player is drawing if they have a hand that is incomplete and needs further cards to become valuable. The hand itself is called a draw or drawing hand. For example, in seven-card stud, if four of a player's first five cards are all spades, but the hand is otherwise weak, they are drawing to a flush. In contrast, a made hand already has value and does not necessarily need to draw to win. A made starting hand with no help can lose to an inferior starting hand with a favorable draw. If an opponent has a made hand that will beat the player's draw, then the player is drawing dead; even if they make their desired hand, they will lose. Not only draws benefit from additional cards; many made hands can be improved by catching an out — and may have to in order to win.

In general, an A-A-x-x versus a random four-card hand is 70-30 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. We can already tell from the numbers above that a royal flush is unlikely to be dealt. Of the nearly 2.6 million poker hands, only four of them are royal flushes. These nearly 2.6 hands are uniformly distributed. Due to the shuffling of the cards, every one of these hands is equally likely to be dealt to a player. The number of such hands is 4.10, and the probability is 0. IF YOU MEAN TO EXCLUDE ROYAL FLUSHES, SUBTRACT 4 (SEE THE NEXT TYPE OF HAND): the number of hands would then be 4.10-4 = 36, with probability approximately 0. A ROYAL FLUSH This consists of the ten, jack, queen, king, and ace of one suit. There are four such hands.

2Types of draws

Outs[edit]

An unseen card that would improve a drawing hand to a likely winner is an out. Playing a drawing hand has a positive expectation if the probability of catching an out is greater than the pot odds offered by the pot.

The probability ${displaystyle P_{1}}$ of catching an out with one card to come is:

{displaystyle P_{1}={frac {mathrm {outs} }{mathrm {unseen} ,mathrm {cards} }}}

The probability ${displaystyle P_{2}}$ of catching at least one out with two cards to come is:

{displaystyle P_{2}=1-{frac {mathrm {non} ,mathrm {outs} }{mathrm {unseen} ,mathrm {cards} }}times {frac {mathrm {non} ,mathrm {outs} -1}{mathrm {unseen} ,mathrm {cards} -1}}}

{displaystyle mathrm {non} ,mathrm {outs} ={mathrm {unseen} ,mathrm {cards} }-mathrm {outs} }

Outs	One Card %	Two Card %	One Card Odds	Two Card Odds	Draw Type
1	2%	4%	46	23	Backdoor Straight or Flush (Requires two cards)
2	4%	8%	22	12	Pocket Pair to Set
3	7%	13%	14	7	One Overcard
4	9%	17%	10	5	Inside Straight / Two Pair to Full House
5	11%	20%	8	4	One Pair to Two Pair or Set
6	13%	24%	6.7	3.2	No Pair to Pair / Two Overcards
7	15%	28%	5.6	2.6	Set to Full House or Quads
8	17%	32%	4.7	2.2	Open Straight
9	19%	35%	4.1	1.9	Flush
10	22%	38%	3.6	1.6	Inside Straight & Two Overcards
11	24%	42%	3.2	1.4	Open Straight & One Overcard
12	26%	45%	2.8	1.2	Flush & Inside Straight / Flush & One Overcard
13	28%	48%	2.5	1.1

Odds Of Drawing Poker Hands