Probabilities
When you first see the cards that you have been dealt, it is
quite natural to hope that the next card or cards that you receive will make up the perfect hand.
However there are quite a few cards left in the pack, and it will help if you are
aware of the odds against you receiving the cards that will make your hand a winner.
|
Outs
|
Draw
|
Turn (47 cards left)
|
River (46 cards left)
|
Turn and River
|
|
Odds
|
Percent
|
Odds
|
Percent
|
Odds
|
Percent
|
|
20
|
|
1.35 : 1
|
42.60%
|
1.30 : 1
|
43.50%
|
0.48 : 1
|
67.50%
|
|
19
|
|
1.47 : 1
|
40.40%
|
1.42 : 1
|
41.30%
|
0.54 : 1
|
65%
|
|
18
|
|
1.61 : 1
|
38.30%
|
1.56 : 1
|
39.10%
|
0.60 : 1
|
62.40%
|
|
17
|
|
1.76 : 1
|
36.20%
|
1.71 : 1
|
37%
|
0.67 : 1
|
59.80%
|
|
16
|
|
1.94 : 1
|
34%
|
1.88 : 1
|
34.80%
|
0.75 : 1
|
57%
|
|
15
|
Flush + Open ended straight
|
2.13 : 1
|
31.90%
|
2.07 : 1
|
32.60%
|
0.85 : 1
|
54.10%
|
|
14
|
|
2.36 : 1
|
29.80%
|
2.29 : 1
|
30.40%
|
0.95 : 1
|
51.20%
|
|
13
|
|
2.62 : 1
|
27.70%
|
2.54 : 1
|
28.30%
|
1.08 : 1
|
48.10%
|
|
12
|
Flush + Gut shot straight
|
2.92 : 1
|
25.50%
|
2.83 : 1
|
26.10%
|
1.22 : 1
|
45%
|
|
11
|
|
3.27 : 1
|
23.40%
|
3.18 : 1
|
23.90%
|
1.40 : 1
|
41.70%
|
|
10
|
|
3.70 : 1
|
21.30%
|
3.60 : 1
|
21.70%
|
1.60 : 1
|
38.40%
|
|
9
|
Flush
|
4.22 : 1
|
19.20%
|
4.11 : 1
|
19.60%
|
1.86 : 1
|
35%
|
|
8
|
Open ended straight
|
4.88 : 1
|
17%
|
4.75 : 1
|
17.40%
|
2.18 : 1
|
31.50%
|
|
7
|
|
5.71 : 1
|
14.90%
|
5.57 : 1
|
15.20%
|
2.59 : 1
|
27.80%
|
|
6
|
|
6.83 : 1
|
12.80%
|
6.67 : 1
|
13%
|
3.14 : 1
|
24.10%
|
|
5
|
|
8.40 : 1
|
10.60%
|
8.20 : 1
|
10.90%
|
3.91 : 1
|
20.40%
|
|
4
|
Gut shot straight
|
10.75 : 1
|
8.50%
|
10.50 : 1
|
8.70%
|
5.07 : 1
|
16.50%
|
|
3
|
|
14.67 : 1
|
6.40%
|
14.33 : 1
|
6.50%
|
7.01 : 1
|
12.50%
|
|
2
|
|
22.50 : 1
|
4.30%
|
22.00 : 1
|
4.40%
|
10.88 : 1
|
8.40%
|
|
1
|
|
46.00 : 1
|
2.10%
|
45.00 : 1
|
2.20%
|
22.50 : 1
|
4.3
|
| 