AK vs A5 anomaly?

[fardels]

Hello,

I just got busted out of a tournament when all in with As Kd against Ac 5h (flop gave my opponent a heart flush). To console myself I went to twodimes and put the cards through, and found I was slightly less of a favourite than I'd thought. In fact, it seems of all the Ax (non-suited) hands my opponent could have had, A5 was the best for her. Slightly more likely to win against AK than AQ, AJ, AT... or A4, A6... would be. Can anyone explain why this is? I just can't seem to figure out why 5 is the magic number?

Many thanks in advance,

Fardels

[StogeyMike]

With A-5 you only need 3 cards to make a strait. A-x with anything else lower than x=T needs 4. This added equity makes it more of a favorite here. Obviously, x=5 is better than x=4, 3, or 2 because it is an overcard to those 3.

[fardels]

That makes perfect sense, and borders on the obvious now that you've explained it. But the plain fact is I didn't know that before, and I do now -

many thanks for taking the time to reply

best wishes,

Fardels

[Gonzoman]

[ QUOTE ]
Obviously, x=5 is better than x=4, 3, or 2 because it is an overcard to those 3.

[/ QUOTE ]

I don't think that the 5 being an overcard to 4, 3, and 2 is really the reason it is more likely to beat AK than A4, A3, or A2. It is probably that A5 can make more straights than A2, A3, and A4. The 5 can be part of any straight from a 5 high to a 9 high, while a 4 can only be part of the 5 high to the 8 high straights.

[StogeyMike]

That's a good point - actually I think 5's and 10's each can make the most amount of straights.

My reply on the 5 being an overcard to 4,3,2 was more to the point that if the board completely misses the hand or just the (common) Ace hits, then A5 naturally beats A4, A3 and A2.

I would concur that it is the increased chances of hitting a straight with A5, whether it be needing only 3 cards instead of 4 to make it or the fact that 5's make the maximum number of straights, that makes this hand a winner more often.

[Bozeman]

You weren't wrong, just incomplete, since A5 will win on 544tt or similar, while A4 will lose on 455tt etc. There aren't a lot of these boards, but even if A5 and A4 made the same # of str8's, A5 would still do better against AK.

Craig

[mostsmooth]

i think you guys are getting off track comparing a5 vs a4 and such. the topic is why a5 does better against ak than any other ax hands.

[mostsmooth]

[ QUOTE ]
You weren't wrong, just incomplete, since A5 will win on 544tt or similar, while A4 will lose on 455tt etc. There aren't a lot of these boards, but even if A5 and A4 made the same # of str8's, A5 would still do better against AK.

Craig

[/ QUOTE ]
if they made the same number of straights, how could you say A5 would do better than A4 vs AK? the straights are the reason A5 is better than A6,A7,A8 no? so if the straights were equal, why would A5 be better than A4? or A6 for that matter? if straights were equal, wouldnt all Ax hands do equally as well against AK?

[GuitarMarc]

There has to be something wrong with your stated post. You list your opponent as having Ac 5h then say he flopped a heart flush. Did you mean he flopped a flush draw? Did he really have Ah 5h? Or did he get his flush on the turn or the river?

I think this would change the discussion here if his cards were suited.

[3rdEye]

A5 is the highest Ace-high combination that has two cards that can make part of a straight, excluding AT-AK...but AT, AJ, and AQ all require a K in order to make a straight under the same conditions. Thus AT-AQ are all inferior to AK because in the event of a straight the best they can do is chop, whereas A5 wins if it makes its straight against AK. A6-A9 are inferior to A5 because there is no straight possibility.