At a ten person hold 'em table what are the chances that AA and KK will be dealt in the same hand?

Question

At a ten person hold 'em table what are the chances that AA and KK will be dealt in the same hand?

Answer 1

Hmm, if I  did my calculations correctly.  AA & KK should show up  in the same hand around once every 484 hands.  (Roughly once every 500 hands)

Typically playing online, they deal maybe 50  hands an hour, 10 handed, so you may see  AA versus KK every 10 hours online.  Live play, say a casual home game, is maybe half as fast.  So in home game play, AA versus KK every 20 hours, playing 10 handed.  Although home games typically aren't 10 handed, but  are  shorthanded, so maybe figure lower to once every 40 hours of table play.

I got the numbers above by figuring first how often AA can arrive in a single hand: 13*17=221.  Same with KK,  once every 221 hands.  Now 10 handed, everyone has a 221:1 shot of getting AA, so for the table to have at least  one AA in the hole somewhere, the odds are  22:1.  Same with KK, roughly.  So, roughly,  the odds  of KK & AA for the same hand is simply 22*22=484.  Once every 484 hands at the table.