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No of Outs - Odds of Hitting in Texas Hold'em

It is important to know what the "Pot Odds" are when deciding whether to "hold em" or "fold em" (thanks to Kenny Rodgers).

Number of Outs

Odds
Example Hand
1
4.3%
 
2
8.4%
 
3
12.5%
 
4
16.5%
4 to inside straight
5
20.4%
 
6
24.1%
 
7
27.8%
 
8
31.5%
4 to outside straight
9
35.0%
4 to a flush
10
38.4%
 
11
41.7%
 
12
45.0%
4 to inside straight flush
13
48.1%
 
14
51.2%
 
15
54.1%
4 to straight flush
16
57.0%
 
17
59.8%
 
18
62.4%
 

Odds of Hitting on Either the Turn or the River

At this point you have seen 5 cards: Your 2 cards and the 3 flop cards.

E.g. with 1 Out
Odds of Hitting = 1 - [ ((Unseen Cards - Outs) / UnseenCards) * ((Unseen Cards - Outs) / Unseen Cards)]
                     = 1 - [ ((  47  -   1   ) /   47 )          *         ( (   46  -   1     ) /   46    )]
                     = 4.3%


Odds of Hitting on the River

Number of Outs

Odds
Example Hand
1
2.2%
 
2
4.3%
 
3
6.5%
 
4
8.7%
4 to inside straight
5
10.9%
 
6
13.0%
 
7
15.2%
 
8
17.4%
4 to outside straight
9
19.6%
4 to a flush
10
21.7%
 
11
23.9%
 
12
26.1%
4 to inside straight flush
13
28.3%
 
14
30.4%
 
15
32.6%
4 to straight flush
16
34.8%
 
17

37.0%

 
18
39.1%
 

At this point you have seen 6 cards: Your 2 cards, 3 flop cards and the turn card

E.g. with 1 Out
Odds = No of Outs / No of Unseen Cards
E.g.                = 1 out / 46 unseen cards
                     = 2.2%

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