|
|
|
POKER ODDS |
| Hand |
Number
of ways to make hand |
Odds Against being dealt hand in 5
cards
|
Royal
Flush
|
4
|
649,739/1
|
Straight
Flush
|
36
|
72,192/1
|
Four
of a Kind
|
624
|
4,164/1
|
Full
House
|
3,744
|
693/1
|
Flush
|
5,108
|
508/1
|
Straight
|
10,200
|
254/1
|
Three
of a Kind
|
54,912
|
46/1
|
Two
Pair |
123,552
|
20/1
|
One
Pair |
1,098,240
|
2.4/1
|
Highest
Card |
1,302,540
|
1/1
|
Total
|
2,598,960
|
|
|
|
Chances of holding a
particular hand or better in first five cards
dealt |
Any
Pair or Better
|
1/2 |
Pair
of Jacks or Better
|
1/5
|
Pair
of Queens or Better |
1/6 |
Pair
of Kings or Better
|
1/7 |
Pair
of Aces or Better |
1/9 |
Two Pairs or Better
|
1/13 |
Three
of a Kind or Better
|
1/35
|
Straight
or Better |
1/132 |
Flush
or Better |
1/273 |
Full
House or Better |
1/590
|
Four
of a Kind or Better |
1/3,914 |
Straight
Flush or Better |
1/64,974 |
Royal
Flush |
1/649,740 |
Total
|
2,598,960
|
|
|
|
THE ODDS OF MAKING
YOUR HAND |
|
In the game of Hold'em
there are plenty of times you will need a card to show itself
on the flop, turn, or the river. For instance, you may need to
know the odds of catching that club on the river for the flush,
or flopping the third 8 to go with the two in your hand. In order
to compute the odds of finding the card you need on the board,
you will need to know two things. The first is how many 'Outs'
you have.
'Outs'
are simply the number of cards that can 'make' your hand. If you
are looking for that flush on the river, there are 9 cards that
can help you. (13 clubs in the deck - 4 clubs in your hand or
on the board = 9 clubs remaining).
The second
thing to know is the number of unseen cards. Since two
cards are in your hand, and four are on the board, there are 46
card remaining. (52-2=50 followed by 50-4=46).
Now computing
the odds is a simple division problem. 9 cards that can help,
divided by 46 cards out there, equals 19.6%. (9÷46=19.56%). That's
how you do it. Ok, 9÷46 isn't so simple, but still, that's how
it's done.
Information you can use
right away:
- Flush: If you hold a four flush,
the odds of catching it on the turn are 19.1%, on the
river is 19.6%. Catching it on the turn or the
river is 35.0%
- Open-Ended Straight: Odds of
catching your card on the turn, 17.0%. On the river,
17.4%. On the turn or the river, 31.5%
- Gutshot Straight: Catching your
card on the turn, 8.5%. Catching your cad on the river,
8.7%. Catching it on the turn or the river,
16.5%
- Trips: Turn your pair into Three-of-a-Kind
on the turn, 4.3%. Catch at the river, 4.3%.
Catch at the turn or the river, 8.4%. With pocket
pairs it is more likely you'll want to catch on the flop.
Odds of that are 11.8%
| Number
of Outs Available to Improve Your Hand |
| Outs |
You Hold |
Hope to Make |
2 |
A
Pair |
Three
of a Kind |
4 |
Two
Pair |
Full
House |
4 |
Inside
Straight |
Straight |
8 |
Open-ended
Straight |
Straight |
9 |
Four
Flush |
Flush |
15 |
Open
Straight Flush Draw |
Striaght,
a Flush, or Straight Flush |
|
| Probability of Catching an Out |
| Outs |
Turn (%) |
River (%) |
Turn or
River |
| 20 |
42.6
|
43.5
|
67.5%
|
| 19 |
40.4
|
41.3
|
65.0%
|
| 18 |
38.3
|
39.1
|
62.4%
|
| 17 |
36.2
|
37.0
|
59.8%
|
| 16 |
34.0
|
34.8
|
57.0%
|
| 15 |
31.9
|
32.6
|
54.1% |
| 14 |
29.8
|
30.4
|
51.2%
|
| 13 |
27.7
|
28.3
|
48.1%
|
| 12 |
25.5
|
26.1
|
45.0%
|
| 11 |
23.4
|
23.9
|
41.7%
|
| 10 |
21.3
|
21.7
|
38.4%
|
| 9 |
19.1
|
19.6
|
35.0%
|
| 8 |
17.0
|
17.4
|
31.5%
|
| 7 |
14.9
|
15.2
|
27.8%
|
| 6 |
12.8
|
13.0
|
24.1%
|
| 5 |
10.6
|
10.9
|
20.4%
|
| 4 |
8.5 |
8.7
|
16.5%
|
| 3 |
6.4
|
6.5
|
12.5%
|
| 2 |
4.3
|
4.3
|
8.4%
|
| 1 |
2.1
|
2.2
|
4.3%
|
|
|
|
|
