Poker Hands And Probabilities
- Poker Hands And Probabilities Functions
- Poker Hands And Probabilities
- Poker Hands And Probabilities Problems
Three card poker is always played with one deck of 52 cards. There are a total of 22,100 different ways that three cards can be dealt. Using a bit of math we can determine the probability of each hand. The table below shows the ways, probabilities and odds for each hand.
| Hand | Ways | Probability | Odds |
| Straight Flush | 48 | 0.002172 | 1 in 460 |
| 3 of a Kind | 52 | 0.002353 | 1 in 425 |
| Straight | 720 | 0.032579 | 1 in 30 |
| Flush | 1096 | 0.049593 | 1 in 20 |
| Pair | 3744 | 0.169412 | 1 in 5.9 |
| Nothing | 16440 | 0.743891 | 1 in 1.3 |
| Totals | 22,100 | 100.0000 |
Notes
As you can see on the table above the straight in three card poker out ranks the flush. This is unique to the game as in every other poker game the flush always out ranks the straight. The reason for the change in rankings is the fact that there are more ways to make a flush with three cards than there are ways to make a straight.
The chances of getting a top starting hand (of double aces, picture pairs or A-K. There are a few 6-card poker games so it is worth looking at probabilities for winning with certain kinds of hands. One chooses the highest ranked 5-card poker hand among the 6 cards and values the hand based on the 5-card hand. The types of 5-card poker hands in.
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Odds and Probabilities For The Five Card Draw Poker Variant
In this page you will learn about how to use odds and probabilities, in order to know if you can complete a hand in five card draw poker.
When you draw a made hand, it is rather easy to know whether to raise or to fold your poker hand. This is decided upon according to the ranking of the hand. But when you draw a partial hand, the decision to fold or continue should be based on the knowledge of the odds and probabilities for drawing the completing cards and getting the poker hand you wanted. Even though the rules of five card draw are simple, calculating the odds can make it a bit more difficult so you should spend some time learning them.
When you start playing Five card draw poker, you sometimes get an incomplete hand that you'll want to complete in the next draw. How will you know if you even have a chance to complete the hand? The following table will give you the odds and probabilities for getting to your wanted hand.
Poker Hands And Probabilities Functions
| Initial hand you receive | Example | Cards you want to draw | Odds for drawing the cards |
| 4 card straight- missing card on two sides | J T 9 8 | Q or 7 | 5/1 |
| 4 card straight – 1 card missing in one place | J T 8 7 | 9 | 11/1 |
| 4 card flush | K 9 7 4, all hearts | Heart | 4/1 |
| 4 card straight flush – 1 card missing in one place | 7 6 5 3, all hearts | heart or 4 | 3/1 |
| 4 card straight flush – 1 card missing on two sides | 7 6 5 4, all hearts | heart, 8 or 3 | 2/1 |
| Two pair | 8 8 5 5 | 8 or 5 (full house) | 11/1 |
| 3 card straight flush – 2 cards missing in both sides | 9 8 7, all hearts | Straight or better | 11/1 |
| Three-of-a-kind | J J J | J J J J or J J J - - | 9/1 |
| Three-of-a-kind and a kicker | J J J Q | J J J Q Q or J J J J | 9/1 |
| A K same suit | A K, all hearts | A A K K or better | 13/1 |
| Pair | Q Q | Two pair or better | 3/1 |
Poker Hands And Probabilities
Now you know what the odds to reach your required hand are for five card draw poker, and you can practice some rounds of online poker to make sure you memorize these odds.
Poker Hands And Probabilities Problems
James Sath - Editor