How often are my KK's up against AA Preflop?

[SenatorFoghorn]

I recall reading a post that said KK will be up against AA every >20,000 hands. I tried the search function and could not find it.

How often will your pocket KK be against AA preflop?

In the last 31,000 hands I have had KK 129 times or 1/242. That sounds about right. Is it?

KK is winning 81.4 % and that sounds about right. Is it?

But my pocket KK have run into AA 6 times in 31,000 hands. Seems high to me. Is it?

Thanks for your comments