| ||||||||
|
|
Online
Poker
Odds
Calculator
1. Card Odds (10)The card odds are the probabilities of being dealt or drawing to various hands. These odds are reviewed in most books about poker. Table 4 is based on the card odds and shows the statistical frequency with which different poker hands occur.
TABLE 4
| ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| High Hands | Approximate Deals per Pat Hand |
Hands Possible |
|---|---|---|
| Total hands | 1 | 2,598,960 |
| No pair | 2 | 1,302,540 |
| One pair | 2.5 | 1,098,240 |
| Two pair | 20 | 123,552 |
| Three of a kind | 50 | 54,912 |
| Straight | 250 | 10,200 |
| Flush | 500 | 5,108 |
| Full house | 700 | 3,744 |
| Four of a kind | 4,000 | 624 |
| Straight flush | 70,000 | 36 |
| Royal straight flush | 650,000 | 4 |
| Five aces (with joker)* | 3,000,000 | 1 |
*
A
fifty-three
card
deck
with the
joker
has
2,869,685
possible
hands.
| Low Hands | Approximate Deals per Pat Hand |
Hands Possible |
|---|---|---|
| Ace high (+) | 5 | 502,880 |
| King high (+) | 8 | 335,580 |
| Queen high (+) | 12 | 213,180 |
| Jack high (+) | 20 | 127,500 |
| Ten high (+) | 37 | 70,360 |
| Nine high (++) | 36 | 71,860 |
| Eight high (++) | 70 | 35,840 |
| Seven high (++) | 170 | 15,360 |
| Six high (++) | 500 | 5,120 |
| Five high (++) | 2,500 | 1,024 |
(+) No
straights
or
flushes.
Ace is
high.
(++)
Including
straights
and
flushes.Ace
is low.
There
are
2,598,960
different
poker
hands in
a
fifty-two-card
deck. If
a player
is dealt
100,000
hands in
his
lifetime,
he will
never
hold (on
his
first
five
cards)
more
than 4
percent
of all
the
possible
hands.
Other poker probabilities based on the card odds are tabulated in Appendix D.
The card odds can reveal interesting information. For example. how many pat straight flushes will William Bennett get during his lifetime? To determine that number, the expected number of hands that will be dealt to him during his life is estimated by the following calculation:
From this estimation, the number of pat (on the first five cards) poker hands that William should get during his lifetime is calculated from the card odds and tabulated below:
| Approximate Number of Pat Hands in a Lifetime |
|
| No pair | 50,000 |
| One pair | 40,00 |
| Two pair | 5,000 |
| Three of a kind | 2,000 |
| Straight | 400 |
| Flush | 200 |
| Full house | 170 |
| Four of a kind | 25 |
| Straight flush | 1.4 |
| Royal straight flush | 0.15 |
|