A question about starting hand possibilities

• Bronze
Joined: 27.06.2011
As far as I know there are 52x51=2652 starting hands in texas holdem.
But if we consider the fact that AKs = KAs (let's say both hearts) then we devide 2652 by 2 and get 1326 starting hands (?).
ok
But if we count all the cards we get only 832:
13 pairs from AA to 22 - 13x4=52
78 suited hands from AKs to 32s - 78x4=312
78 offsuited hands from AKo to 32o - 78x6=468

Where is the mistake?
• 11 replies
• Bronze
Joined: 09.01.2011
I think its 12 instead of 6 combination offsuited hands: 78x12=936
• Bronze
Joined: 27.06.2011
Originally posted by kunaguero5
I think its 12 instead of 6 combination offsuited hands: 78x12=936
ok, so it's 1300 total and not 1326. How come?
13x4=52
78x4=312
78x12=936
• Bronze
Joined: 25.04.2008
You have 6 choices for each pair.
• Bronze
Joined: 09.01.2011
and its 6 instead of 4 combination of pairs ( , , , , , :club
so:

13x6=78
78x4=312
78x12=936

=1326

edit: too last
• Bronze
Joined: 27.06.2011
I was going to start a new thread, but I change my mind and post it here:
In pokerstrategy equilator when I try to compare A6s and A5s vs random hands I get this:
A6s - 59,906%
A5s - 59,923%
A6s < A5s?
• Bronze
Joined: 27.01.2008
Ofc, 6 kicker insted of 5 kicker makes no difference (basically), whereas A5 can make straights easilly (234).

To put in practice:

A6 won't win you pots for it's 6 kicker (or at least it won't win more times than A5 because of higher kicker), whereas A5 will sometimes win you pots with 5 (as I said A2345).
• Bronze
Joined: 27.06.2011
Originally posted by Jkob
Ofc, 6 kicker insted of 5 kicker makes no difference (basically), whereas A5 can make straights easilly (234).

To put in practice:

A6 won't win you pots for it's 6 kicker (or at least it won't win more times than A5 because of higher kicker), whereas A5 will sometimes win you pots with 5 (as I said A2345).
yeah, I understood the idea about straight. A5 just has more chances to complete a straight on river than A6. Thank you

lol I was trying to compare A6s vs random with A5s vs random using the monte-carlo method and waited for like 20 minutes but it seems to be infinite
• Bronze
Joined: 27.06.2011
Jkob, if I compare these 2 directly I get:
A6s 56.741%
A5s 43.259%
How come A5s is not ahead of A6s anymore?
• Bronze
Joined: 27.01.2008
Originally posted by slipkn6t
Jkob, if I compare these 2 directly I get:
A6s 56.741%
A5s 43.259%
How come A5s is not ahead of A6s anymore?
Because in order to win w A5s vs A6s, you need to hit your 5 (3outs) or make a straight. In all other occurances (which are far more common) you either split or A6s wins due to it's kicker.

P.S.: Well those situations are not that more common, but are just common enough to give you that 6% edge.
• Bronze
Joined: 12.03.2008
awesome thanks Jkob! i loved how you explained things. made absolute perfect sense.

slipkn6t please think of more questions! i normally don't ever think about these things.
• Bronze
Joined: 27.01.2008
Glad I could help. Back in the days the same question bothered me over and over again, since it really is kinda interesting