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Poker odds and Probabilities

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7 Card Stud

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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