how many hands before AA, KK, QQ, or AK shows up for my opponents

[brick]

On average how many hands will I have to play before AA, KK, QQ, or AK shows up in one of my opponents hands?
(10 handed)

AA, KK, QQ only?

AA, KK only?

[pzhon]

[ QUOTE ]
On average how many hands will I have to play before AA, KK, QQ, or AK shows up in one of my opponents hands?
(10 handed)

AA, KK, QQ only?

AA, KK only?


[/ QUOTE ]

It think the reason no one has answered is that the calculations are tedious, and depend on many assumptions. Are you assuming that your hand has no A, K, or Q? Are you counting the cases in which you have such a hand, e.g., the probability someone has a premium hand when you have AK?

As a very rough guide, someone has AA about 5% of the time, and the same is true for KK and QQ. Someone has AKs about 3% of the time, and AKo about 9%. These are not independent, but the right order of magnitude is that at least one player has one of these hands every 4 deals.

So, moving in each hand won't pick up the blinds for very long.