Poker Hand Rankings

Stardeck presents new card combinations and hand probabilities when applied to Poker games. One may choose to follow traditional poker rankings or follow the additional poker hands as illustrated below. The addition of 13 more cards, for a total of 65 cards, adds a new and interesting complexity to Poker games.

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5-Suited Poker: 5 Card Stud

  

4-Suited Poker: 5 Card Stud
# Hand Count Probability
1 5-of-a-Kind 13 0.0000016
2 Straight Flush 50 0.0000061
3 FLASH 4-of-a-Kind 780 0.0000944
4 FLASH Straight 1,200 0.0001453
5 FLASH Full House 1,560 0.0001889
6 4-of-a-Kind 3,120 0.0003777
7 Flush* 6,385 0.0007730
8 Full House* 14,040 0.0016998
9 FLASH 3-of-a-Kind 17,160 0.0020775
10 FLASH 2 Pair 25,740 0.0311627
11 Straight 30,000 0.0036320
12 3-of-a-Kind 197,340 0.0238914
13 FLASH** (Runt > Pair) 324,840 0.0393274
14 2 Pair 403,260 0.0488215
15 1 Pair 3,403,400 0.4120395
16 Runt 3,831,000 0.4638077
* = Flush beats Full House
** = A FLASH Runt (No Pair) beats a FLASH Pair. A FLASH Pair can be made 171,600 ways and a FLASH Runt only 153,240 ways.
  
# Hand Count Probability
       
1 Straight Flush 36 0.0000139
       
       
       
2 4-of-a-Kind 624 0.0002401
3 Full House 3,744 0.0014406
4 Flush 5,108 0.0019654
       
       
5 Straight 10,200 0.0039247
6 3-of-a-Kind 54,912 0.0211285
       
7 2 Pair 123,552 0.0475390
8 1 Pair 1,098,240 0.4225690
9 Runt 1,302,540 0.5011774

Number of Possible Hands

With regular poker, there are more ways to get a Flush than a Full House (so a Full House beats a Flush). With Stardeck, it is reversed -- there are more ways to get a Full House than a Flush (so a Flush beats a Full House).

5-Suited Poker: 5 Card Stud

  

4-Suited Poker: 5 Card Stud
Hand
Result		 Possible
Hands		    
  All No FLASH FLASH
5-of-a-Kind 13 x 13
Straight Flush 50 50 x
4-of-a-Kind 3,900 3,120 780
Flush (n.s.) 6,385 6,385 x
Full House 15,600 14,040 1,560
Straight (n.f.) 31,200 30,000 1,200
3-of-a-Kind 214,500 197,340 17,160
2 Pair 429,000 403,260 25,740
1 Pair 3,575,000 3,403,400 171,600
Runt 3,984,240 3,831,000 153,240
n.s. = no straight,  n.f. = no flush,  x = hand not possible
 
Hand
Result		 Possible
Hands
  All
   
Straight Flush 36
4-of-a-Kind 624
Full House 3,744
Flush (n.s.) 5,108
Straight (n.f.) 10,200
3-of-a-Kind 54,912
2 Pair 123,552
1 Pair 1,098,240
Runt 1,302,540
n.s. = no straight,  n.f. = no flush

 

Hands Illustrated

Below are examples of the new hands. Each of the FLASH hands include one card from each of the 5 suits.

1. 
 
of Stars
of Spades
of Hearts
of Clubs
of Diamonds
5-of-a-Kind:
The same card from each of the 5 suits
2. 
 
of Clubs

of Clubs
of Clubs
of Clubs
of Clubs
Straight Flush:
Five cards in numerical order, all of the same suit
3. 
 
of Stars
of Spades
of Hearts
of Clubs

of Diamonds
FLASH 4-of-a-Kind:
Four cards of the same numerical rank, consisting of one card from each suit
4. 
 
of Stars
of Spades

of Hearts
of Clubs

of Diamonds
FLASH Straight:
Five cards in numerical order, consisting of one card from each suit
5. 
 
of Stars
of Spades
of Hearts

of Clubs

of Diamonds
FLASH Full House:
Three of the same numerical rank, and two of the same numerical rank, represented by one card from each suit.
6. 
 
of Stars
of Spades
of Hearts
of Clubs

of Clubs
4-of-a-Kind:
Four cards of the same numerical rank and another random card
7. 
 
of Diamonds
of Diamonds

of Diamonds

of Diamonds
of Diamonds
Flush:
Five cards of the same suit, regardless of their numerical rank
8. 
 
of Stars
of Spades
of Hearts
of Clubs
of Spades
Full House:
Three of the same numerical rank, and two of the same numerical rank
9. 
 
of Stars
of Spades
of Hearts
of Clubs

of Diamonds
FLASH 3-of-a-Kind:
Three cards of the same numerical rank, consisting of one card from each suit
10. 
 
of Stars
of Spades
of Hearts
of Clubs
of Diamonds
FLASH 2 Pair:
Two sets of pairs consisting of one card from each suit
11. 
 
of Stars
of Stars
of Stars
of Diamonds

of Diamonds
Straight:
Five cards in numerical order, regardless of their suits
12. 
 
of Stars
of Spades
of Hearts

of Hearts
of Hearts
3-of-a-Kind:
Three cards of the same numerical rank
13a. 
 
of Stars
of Spades

of Hearts

of Clubs
of Diamonds
FLASH Runt:
One card from each suit
13b. 
 
of Stars
of Spades
of Hearts

of Clubs
of Diamonds
FLASH Pair:
One pair consisting of one card from each suit
14. 
 

of Stars

of Spades
of Stars
of Hearts
of Spades
Two Pair:
Two sets of pairs
15. 
 
of Stars
of Spades
of Spades
of Spades
of Diamonds
One Pair:
One pair
16. 
 
of Stars
of Stars
of Spades
of Spades
of Hearts
Runt:
No pair; highest-valued card