I think it’s because you now win with a higher straight when the board is 2345, whereas before you would have lost. Otherwise you have all the same odds to a straight as with 78.
I get 56s going off at 3.3564 - 1, while 78s is 3.3594 - 1.
That makes sense as to why, Giraffe.
Good call. 56 basically kills all his low straights, not just one.
Ah. I thought it was relatively rare to allow ace-low straights. No matter.
With 5,6 there are 3 staright on the board that wil tie A,A:
6,7,8,9,10
7,8,9,10,J
8,9,10,J,Q
and with 7,8, there are only 2:
A,2,3,4,5,
8,9,10,J,Q
Then again, why wouldn’t 67s (3.3585 - 1) be better if that’s the reason? It also kills AA’s low straights, but the low straights (which are wins for the suited connectors) are more likely to come up with 67 than 56.
I guess it is the likelihood of a tie that does it. 56s will tie .37% of the time, 67s will tie only .32%.
Yup. 5,6 has the exact same odds of winning as 6,7 does, but 5,6 ties a little more of the time.
Okay–new question here. What two hands, heads up against each other, are as close to a coin flip as possible (not counting hands that are identical except for the suits)?
I really don’t know the answer. So far I’ve found a pair of hands that produces 49.67 /49.78 odds, (with the residue being ties), and another that produces 49.77/ 49.60. These are both damn close to coin flips. Anything closer?
That’s a good one Opus1. Don’t tell us what you’ve found yet.
Using the twodimes site, I found a matchup which is 49.64 to 49.70.
Just found a 49.58/ 49.54.
4s 4c vs. jd th
Anything closer?
Nice job Opus1. I can’t see it getting any closer than that.