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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
14,066 to 1
119,569 to 1
15,942 to 1
204
24
180
FOUR-OF-A-KIND 0.03 3,465 to 1 828
FULL HOUSE 0.15 656 to 1 4,368
FLUSH 0.27 367 to 1 7,804
STRAIGHT 0.71 139 to 1 20,532
THREE-OF-A-KIND
     3 Aces
     Three-of-a-kind
       (Large: K's - 8's)
     Three-of-a-kind
       (Small: 7's - 2's)
2.21
0.37
0.92
 
0.92
 
44.3 to 1
271 to 1
108 to 1
 
108 to 1
 
63,360
10,560
26,400
 
26,400
 
TWO-PAIR
     Aces-up
     K-up, Q-up, J-up
     Small Two-Pair
     (Tens-up and under)
4.83
1.10
1.69
2.03
 
19.7 to 1
89.6 to 1
58.0 to 1
48.2 to 1
 
138,600
31,680
48,600
58,320
 
ONE PAIR 42.34 1.36 to 1 1,215,024
PAIR OF A,K,Q,J (Openers)
     Aces
     Kings
     Queens
     Jacks
14.19
4.81
3.13
3.13
3.13
6.05 to 1
19.8 to 1
31.0 to 1
31.0 to 1
31.0 to 1
407,184
137,904
89,760
89,760
89,760
SHORTS
     Shorts
       (Large: 10's - 7's)
     Shorts
       (Small: 6's - 2's)
28.15
12.51
 
15.64
 
2.55 to 1
6.99 to 1
 
5.39 to 1
 
807,840
359,040
 
448,800
 

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