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THE PROBABILITY OF BEING DEALT SPECIFIC HANDS BEFORE THE DRAW
(53-card deck - including Joker)

The probability of being dealt... (before the draw) Expressed in percent (%) is... The odds against it are... Number of possible combos
5 ACES 0.00* 2,869,684 to 1 1
STRAIGHT-FLUSH
     Royal Flush
     Other Straight-Flush
0.01
0.00**
0.01
13,997 to 1
114,786 to 1
13,997 to 1
205
25
205
FOUR-OF-A-KIND 0.04 2,777 to 1 1,033
FULL HOUSE 0.19 530 to 1 5,401
FLUSH 0.46 216 to 1 13,205
STRAIGHT 1.18 84.1 to 1 33,737
THREE-OF-A-KIND
     3 Aces
     Three-of-a-kind
       (Large: K's - 8's)
     Three-of-a-kind
       (Small: 7's - 2's)
33.8
1.54
2.46
 
3.38
 
28.6 to 1
63.8 to 1
39.6 to 1
 
28.6 to 1
 
97,097
44,297
70,697
 
97,097
 
TWO-PAIR
     Aces-up
     K-up, Q-up, J-up
     Small Two-Pair
       (Tens-up and under)
8.21
4.49
6.18
8.21
 
11.2 to 1
21.3 to 1
15.2 to 1
11.2 to 1
 
235, 697
128,777
177,377
235,697
 
ONE PAIR 50.55 0.98 to 1 1,450,721
PAIR OF A,K,Q,J
   (Openers)
     Aces
     Kings
     Queens
     Jacks
22.40
 
13.02
16.15
19.27
22.40
3.46 to 1
 
6.68 to 1
5.19 to 1
4.19 to 1
3.46 to 1
642,881
 
373,601
463,361
553,121
642,881
SHORTS
     Shorts
       (Large: 10's - 7's)
     Shorts
       (Small: 6's - 2's)
50.55
34.91
 
50.55
 
0.98 to 1
1.86 to 1
 
0.98 to 1
 
1,450,721
1,001,921
 
1,450,721
 

* Actually 0.000035%                   ** Actually 0.000871%                OR BETTER


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