Monday, July 17, 2006

 

6-card poker hands

I've often wondered about playing poker where 6-card hands are also valid. This might be a natural step forward in the evolution of poker.

I don't really have the time at the moment to work this out precisely, but here is what I expect the rankings for 6-card poker hands to look like:

With a royal flush simply being the highest possible straight flush.

Of course this could be extended to 7-card poker hands, or more, but I reckon one jump at a time should be enough to make the game even more interesting.

# posted by Slow @ 3:12 pm
Comments:
Here are some calculations of 6 Card Poker for those who wants to understand more.
Straight Flush 36
Quadruple and Pair 936
Two Triples 1,248
6-card Flush 6,828
4 of a kind 13,728
6-card Straight 36,828
Three Pairs 61,776
Full House 164,736
5-card Flush 198,964
5-card Straight 324,792
Three of a kind 732,160
Two Pairs 2,471,040
Pair 9,884,160
High Card 6,468,116
# posted by Anonymous Anonymous : February 17, 2007 8:06 am
 
Forgot to add 5-card straight flush
Straight Flush 36
Quadruple and Pair 936
5-card Straight Flush 1,808
Two Triples 1,248
6-card Flush 6,828
4 of a kind 13,728
6-card Straight 36,828
Three Pairs 61,776
Full House 164,736
5-card Flush 198,964
5-card Straight 324,792
Three of a kind 732,160
Two Pairs 2,471,040
Pair 9,884,160
High Card 6,466,308

The frequency should look better now.
# posted by Anonymous Anonymous : February 17, 2007 8:24 am
 
Here is 7-card poker.
straight flush 32
Quadruple and triple 624
flush 6,832
Quadruple and pair 41,184
two triples 54,912
Triple and two pair 12,3552
straight 13,1040
four of a kind 183,040
three pairs 2,471,040
full house 3,294,720
3 of a kind 6,589,440
two pairs 29,652,480
pair 63,258,624
high card 27,977,040

If we add the 6 card straight, 6 card flush, 6 card straight flush, 5 card straight, 5 card flush, and 5 card straight flush, then the number of high card will decrease and those will be added. I did not calculate those numbers yet. Hope this helps answer your concern.
# posted by Anonymous Anonymous : February 17, 2007 8:31 am
 
Looking at your ranking, I think you have a good idea, but you did not take the calculation. I've done these calculation so I have a stronger idea on some of the poker ranking.
# posted by Anonymous Anonymous : February 17, 2007 8:34 am
 
I thought that having 6-card poker then we would not have the 5-card hand such as the five card straight flush, five card flush, and five card straight, because the 4 card hand were not in the standard poker (5 card hand). Sousem hands (4 card straight flush, 4 card straight, and 4 card flush play in 5 card poker) are not played in every standard poker. That's why I did not caculate the 'incomplete' hand.
# posted by Anonymous Anonymous : February 17, 2007 8:41 am
 
I've done the calculation from 2 card poker to 13 card poker combination, so the ranking of those combination as long as the are 'complete' then I know them.
# posted by Anonymous Anonymous : February 17, 2007 8:45 am
 
Post a Comment

<< Home

This page is powered by Blogger. Isn't yours?