Median best hand?

[renfurdson]

I'm not sure how useful it would be to know this, but I wonder if anyone has calculated the median best starting holdem hand if ten hands are dealt.

In other words, if ten milllion sets of 10 starting hands were dealt, and the best starting hand (based on heads up showdown value) were chosen from each, what would be the median among these 10 million best hands?

I was thinking knowing this might be helpful when thinking about making a move from early position.

[capone0]

Isn't Q7 the computer hand = average hand.

[renfurdson]

That's the average hand from a random bunch of hands. I'm asking for the median hand from a set of the BEST of ten hands.

[uDevil]

Here is an old thread on this topic:

Median Hold'em Best Starting Hand

[renfurdson]

Thanks! My guess was AJo for a full table but it turns out to be ATo.

[AaronBrown]

[ QUOTE ]
In other words, if ten milllion sets of 10 starting hands were dealt, and the best starting hand (based on heads up showdown value) were chosen from each, what would be the median among these 10 million best hands?

[/ QUOTE ]
I'm going to be annoying and tell you what's wrong with the question instead of answering it.

"Heads up showdown value" depends on two hands, not one. That is, AA has 81.3% equity against KK (assuming all four suits are represented), and 77.4% equity against 98s (if the suit does not match either Ace). QQ has 18.8% equity against KK and 78.4% against 98s. So QQ is much worse than AA against KK, but a little better against 98s.

You have to specify a single hand ranking system to answer this question. Once you do, the referenced thread has the answer.