Poker: Poker Strategy: Probability
Online Poker Strategy. Poker card probability
PROBABILITIES OF FIVE-CARD POKER HANDS
| Hand |
Number |
Approx Odds (to 1) |
Royal Flush
Straight flush
Four of a kind
Full House
Flush
Straight
Three of a kind
Two pairs
one pair
No hand |
4
36
624
3,744
5,108
10,200
54,912
123,552
1,098,240
1,302,540 |
649,740
72,192
4,164
693
508
254
46
20
1.37
1 |
ODDS AGAINST IMPROVING A HAND
| Cards Held |
Drawn |
Improved hand |
Odds against (to 1) |
| One Pair |
3 |
Two pair
Three of a kind
Full House
Four of a kind
Any improvement |
5.3
7.8
97
360
2.5 |
| One Pair plus kicker |
2 |
Two Pairs
Three of a kind
Full house
Four of a kind
Any improvement |
4.8
12
120
1080
2.8 |
| Three of a kind |
2 |
Full house
Four of a kind
Any improvement |
15.3
22.5
8.7 |
| Four straight cards (open both ways) |
1 |
Straight |
5 |
| Inside straight |
1 |
Straight |
10.8 |
| Four card flush |
1 |
Flush |
4.2 |
| Four card flush (open ended) |
1 |
Straight Flush
Straight or better |
22.5
2 |
| Four card straight flush (inside) |
1 |
Straight Flush
Straight or better |
46
3 |
More information on Poker Strategy:
Poker Probabilities
Pre-flop strategy
Post-flop strategy
Successful poker betting
The important art of bluffing
Chip and card handling
7 Card Stud
The First Golden Rule of Poker
The Second Golden Rule of Poker
The Third Golden Rule of Poker
The Fourth Golden Rule of Poker
The Fifth Golden Rule of Poker
The Sixth Golden Rule of Poker
The Seventh Golden Rule of Poker
Poker Decision-Making
The Value of Position
The Double-Bet
Table Image
Implicit Collusion
Have a Gameplan Before the Game
Study Your Opponents
Low-Limit Casino Poker: Introduction
Low-Limit Casino Poker Etiquette: Starting at the Tables
Low-Limit Casino Poker: Table Climate
Low-Limit Casino Poker: Position
Low-Limit Casino Poker: Starting Hands
Low-Limit Casino Poker: Playing Pairs
Low-Limit Casino Poker: Playing Drawing Hands
Low-Limit Casino Poker: Mathematics and Psychology
Low-Limit Casino Poker: Playing Big Card
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