[Calculating Odds to Percentages]

Odds are given below for hitting a draw by the river with a given number of outs after the flop and turn, and examples of draws with specified numbers of outs are given.

Example: if you hold [22] and the flop does not contain a [2], the odds of hitting a [2] on the turn is 22:1 (4%). If the turn is also not a [2], the odds of hitting it on the river are again 22:1 (4%). However, the combined odds of hitting a [2] on the turn or river is 12:1 (8%). For mathematical reasons, only use combined odds (two card odds) when you are in a possible all-in situation.
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
14 30% 51% 2.3 0.95
15 33% 54% 2.1 0.85 Flush & Open Straight / Flush & Two Overcards
16 34% 57% 1.9 0.75
17 37% 60% 1.7 0.66
Examples of drawing hands after the flop
Draw Hand Flop Specific Outs # Outs
Pocket Pair to Set [4♠ 4♥] [6♣ 7♦ T♠] 4♦, 4♣ 2
One Overcard [A♠ 4♥] [6♥ 2♦ J♣] A♦, A♥, A♣ 3
Inside Straight [6♣ 7♦] [5♠ 9♥ A♦] 8♣, 8♦, 8♥, 8♠ 4
Two Pair to Full House [A♦ J♥] [5♠ A♠ J♦] A♥, A♣, J♠, J♣ 4
One Pair to Two Pair or Set [J♣ Q♦] [J♦ 3♣ 4♠] J♥, J♠, Q♠, Q♥, Q♣ 5
No Pair to Pair [3♦ 6♣] [8♥ J♦ A♣] 3♣, 3♠, 3♥, 6♥, 6♠, 6♦ 6
Two Overcards to Over Pair [A♣ K♦] [3♦ 2♥ 8♥] A♥, A♠, A♦, K♥, K♣, K♠ 6
Set to Full House or Quads [5♥ 5♦] [5♣ Q♥ 2♠] 5♠ Q♠, Q♦, Q♣, 2♥, 2♦, 2♣ 7
Open Straight [9♥ T♣] [3♣ 8♦ J♥] Any 7, Any Q 8
Flush [A♥ K♥] [3♥ 5♠ 7♥] Any heart (2♥ to Q♥) 9
Inside Straight & Two Overcards [A♥ K♣] [Q♠ J♣ 6♦] Any Ten, A♠, A♦ A♣, K♠, K♥, K♦ 10
Flush & Inside Straight [K♣ J♣] [A♣ 2♣ T♥] Any Q, Any club 12
Flush and Open Straight [J♥ T♥] [9♣ Q♥ 3♥] Any heart;, 8♦, 8♠, 8♣, K♦, K♠, K♣ 15

Keyword Definitions

* Backdoor: A straight or flush draw where you need two cards to help your hand out.
You have [A K]. Flop shows [T 2 5]. You need both a [J] and [Q] for a straight.

* Overcard Draw: When you have a card above the flop.
You have [A 3]. Flop shows [K 5 2]. You need a [A] overcard to make top pair. 3 total outs.

* Inside Straight Draw (aka ‘Gutshot’): When you have one way to complete a straight.
You have [J T]. Flop shows [A K 5]. You need a [Q] to complete your straight. 4 total outs.

* Open Straight Draw: When you have two ways to complete a straight.
You have [5 6]. Flop shows [7 8 A]. You need a [4] or [9] to complete your straight. 8 total outs.

* Flush Draw: Having two cards to a suit with two suits already on the flop.
You have [A♥ K♥]. Flop shows [7♥ 8♥ J♣]. You need any heart to make a flush. 9 total outs.

To calculate your hand odds, you first need to know how many outs your hand has. An out is defined as a card in the deck that helps you make your hand. If you hold [A♠ K♠] and there are two spades on the flop, there are 9 more spades in the deck (since there are 13 cards of each suit). This means you have 9 outs to complete your flush – but not necessarily the best hand! Usually you want your outs to count toward a nut (best hand) draw, but this is not always possible.

The quick amongst you might be wondering “But what if someone else is holding a spade, doesn’t that decrease my number of outs?”. The answer is yes (and no!). If you know for sure that someone else is holding a spade, then you will have to count that against your total number of outs. However, in most situations you do not know what your opponents hold, so you can only calculate odds with the knowledge that is available to you. That knowledge is your pocket cards and the cards on the table. So, in essence, you are doing the calculations as if you were the only person at the table – in that case, there are 9 spades left in the deck.

When calculating outs, it’s also important not to overcount your odds. An example would be a flush draw in addition to an open straight draw.

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