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Probability Tables

The Odds Of Being Dealt These Hands Using 5 Cards:

Hand
3 Cards 5 Cards 7 Cards
Royal Flush
1 Chance In 649,739 Hands Dealt
Straight Flush
1 Chance In 72,192 Hands Dealt
Four of a Kind
1 Chance In 4,164 Hands Dealt
Full House
1 Chance In 693 Hands Dealt
Flush
1 Chance In 508 Hands Dealt
Straight
1 Chance In 254 Hands Dealt
Three of a Kind
1 Chance In 46 Hands Dealt
Two Pair
1 Chance In 20 Hands Dealt
One Pair
1 Chance In 4 Hands Dealt
No Pair
1 Chance In 2 Hands Dealt

The standard poker hands are ranked based on the probability of their being dealt pat in 5 cards from a full 52-card deck. The following table lists the hands in order of increasing frequency, and shows how many ways each hand can be dealt in 3, 5, and 7 cards.

Hand
3 Cards
 5 Cards
7 Cards 
Straight Flush
48
40
41,584
Four of a Kind
0
624
224,848
Full House
0
3,744
3,473,184
Flush
1,096
5,108
4,047,644
Straight
720
10,200
6,180,020
Three of a Kind
52
54,912
6,461,620
Two Pair
0
123,552
31,433,400
One Pair
3,744
1,098,240
58,627,800
High Card
16,440
1,302,540
23,294,460
Totals
22,100
2,598,960
133,784,560

The above charts at best can only serve as a rough guideline. Many factors are to be considered when establishing the true odds, including the number of players at a table and the game being played.

Featured Authors
Daniel Negreanu
Daniel Negreanu Limit Hold'em at the 2004 World Series of Poker
Warren Karp
Warren Karp WSOP A look from the inside
Nolan Dala
Nolan Dala The Poker Church

Omaha 8 or better is a game of Flushes. When playing hands stay away from “naked” A-2 combinations that have no back-up low. Always look for hands where the Ace is suited.

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