Probability Tables
"The odds of getting a royal fizzbin are astronomical. Spock, what are the odds of getting a royal fizzbin?" Captain James T Kirk
Odds are a fairly serious business. We don't want to lose our sense of humor but we also don't want to lose our shirt.
It's a good idea to go into every battle prepared. And believe me, Poker can be a battle. The following charts will help you in those situations where a gut feeling just isn't going to be enough.
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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. |