Probability key number in texas holdem poker

Chances of victory

Number of players 2 3 4 6 8 10
85% 74% 64% 49% 39% 32%
82% 69% 59% 44% 33% 26%
80% 65% 54% 39% 29% 23%
77% 62% 50% 35% 25% 20%
75% 58% 46% 31% 22% 18%
72% 54% 42% 28% 20% 16%
69% 50% 38% 25% 18% 15%
66% 47% 35% 23% 17% 14%
65% 49% 41% 30% 23% 18%
64% 48% 38% 27% 21% 17%
63% 44% 32% 21% 16% 14%
63% 47% 37% 26% 20% 16%
62% 46% 36% 25% 19% 15%
60% 46% 36% 27% 20% 16%
59% 43% 33% 22% 16% 13%
59% 44% 34% 25% 19% 15%
58% 42% 32% 21% 16% 12%





Probability of a stronger card than yours being
revealed in the flop

At least a superior card
Your best card is Flop Final table
22.5% 35%
41% 60%
57% 76%
69.5% 86%
79% 93%
87% 97%
92% 99%
96% 99.5%
98% 99.5%
99% 99.9%
99.9% 99.9%
100% 100%




Risk of being dominated before the flop

Number of players
your hand 8 10 Hands that dominate you are
4% 4.9%
8% 9.8% -
8% 9.8% -
11.2% 13.9% - -
14.7% 18.2% - - -
15% 18.5% - - -
18.2% 22.2% - - - -
21.7% 27% - - - -
25% 30.3% - - - - -




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




Result of the clash between two hands all-in with all
the cards on the table

Over pair vs inferior pair 82% vs 18%
Pair vs 2 superior cards 55% vs 45%
Pair vs superior card 69% vs 31%
Over paire vs petits connecteurs 81% vs 19%
Over pair vs same coloured connectors 77% vs 23%
Pair vs same coloured superior connectors 50% vs 50%
2 cards vs same coloured inferior connectors 58% vs 42%
2 cards vs inferior connectors 62% vs 38%
Dominated hand 71% vs 29%
Same coloured cards vs pair 34% vs 66%
Superior card vs same coloured superior connectors 52% vs 48%
Superior card vs connectors 56% vs 44%
2 cards vs 2 inferior cards 68% vs 32%
Pair vs 2 inferior cards 89% vs 11%
Middle cards 64% vs 36%
Alternate cards 58% vs 42%




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