Probability key number in texas holdem poker
Probability of the Aces coming up
| Number of players |
You are the only one having an Ace |
No one has an Ace |
| 2 |
88% |
85% |
| 3 |
77% |
71% |
| 4 |
68% |
59% |
| 5 |
59% |
49% |
| 6 |
50% |
40% |
| 7 |
43% |
32% |
| 8 |
36% |
26% |
| 9 |
31% |
20% |
| 10 |
25% |
16% |
Probability that the flop contains
|
% |
Cote |
| A pair |
17 |
5/1 |
| No consecutive card |
56 |
0.8/1 |
| 2 consecutive cards |
40 |
1.5/1 |
| 3 consecutive cards |
3.5 |
28/1 |
| No card of the same colour |
40 |
1.5/1 |
| 2 cards of the same colour |
55.5 |
0.8/1 |
| 3 cards of the same colour |
5.2 |
18/1 |
| Three of a kind |
0.24 |
424/1 |
Opening hands contain
| A pair |
6% |
16/1 |
| A pair of Aces |
0.5% |
220/1 |
| A pair of Aces, Kings or Queens |
1.4% |
73/1 |
| Ace - King |
1.2% |
82/1 |
| 2 connectors of the same colour |
4% |
27/1 |
| 2 cards of the same colour |
24% |
3/1 |
| 2 connectors of different colour |
12% |
7.5/1 |
| An Ace |
15% |
6/1 |
| A pair or an Ace |
20% |
4/1 |
| One of the 10 best hands |
4% |
22/1 |
| One of the 20 best hands |
9.5% |
9/1 |
What to expect from the flop ?
| With any two cards you can obtain |
| A pair |
29% |
| 2 pairs |
2% |
| At least a pair |
32% |
| A colour |
2% |
| With one pair in your hand you can make |
| Three of a kind |
11% |
| A full house or four of a kind |
1% |
| With 2 cards of the same colour you can get |
| A colour |
11% |
| A straight flush |
1%
|
| With 2 consecutive cards you can get |
| A straight |
10% |
What can come up on the flop
| A pair |
17% |
5/1 |
| One colour flop |
5% |
18/1 |
| 2 colour flop |
55% |
0,8/1 |
| 3 colour flop |
40% |
1,5/1 |
| 3 consecutive cards |
3,5% |
28/1 |
Probability of improving your hand
| OUTS |
TURN % |
Rating |
RIVER % |
Rating |
total % |
Rating |
| 20 |
43 |
1.4/1 |
44 |
1.3/1 |
68 |
0.5/1 |
| 19 |
40 |
1.5/1 |
41 |
1.4/1 |
65 |
0.5/1 |
| 18 |
38 |
1.6/1 |
39 |
1.6/1 |
62 |
0.6/1 |
| 17 |
36 |
1.8/1 |
37 |
1.7/1 |
60 |
0.7/1 |
| 16 |
34 |
2/1 |
35 |
1.9/1 |
57 |
0.8/1 |
| 15 |
32 |
2.1/1 |
33 |
2/1 |
54 |
0.9/1 |
| 14 |
30 |
2.4/1 |
30 |
2.3/1 |
51 |
1/1 |
| 13 |
28 |
2.6/1 |
28 |
2.5/1 |
48 |
1.1/1 |
| 12 |
26 |
3/1 |
26 |
2.8/1 |
45 |
1.2/1 |
| 11 |
23 |
3.3/1 |
24 |
3.2/1 |
42 |
1.4/1 |
| 10 |
21 |
3.7/1 |
22 |
3.6/1 |
38 |
1.6/1 |
| 9 |
19 |
4.2/1 |
20 |
4.1/1 |
35 |
1.9/1 |
| 8 |
17 |
5/1 |
17 |
5/1 |
32 |
2.2/1 |
| 7 |
15 |
6/1 |
15 |
6/1 |
28 |
2.6/1 |
| 6 |
13 |
7/1 |
13 |
7/1 |
24 |
3.1/1 |
| 5 |
11 |
8/1 |
11 |
8/1 |
20 |
3.9/1 |
| 4 |
9 |
11/1 |
9 |
11/1 |
17 |
5/1 |
| 3 |
6 |
15/1 |
7 |
14/1 |
13 |
7/1 |
| 2 |
4 |
23/1 |
4 |
22/1 |
8 |
11/1 |
| 1 |
2 |
46/1 |
2 |
45/1 |
4 |
22.5/1 |