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|
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 |
|
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1. VC Poker
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|
