dirty outs for making a pair

[sdfsdf]

lets say you're playing a tournament with a table of 9 players. you get dealt AK and go allin vs someone who has 22. pokerstove says its 52/48. but when 16 other cards are dealt to other players, isnt it likely that one or more of them has an ace or king in their hands, reducing your pair outs? does the 52/48 probability take this into account, if not what is the real probability for this scenario, given that in the average case you will lose 1.5 outs because of cards dealt(estimated number that i'm pulling off the top off my head)??

[SunOfBeach]

Depending on the position of the pusher, I think it could actually be possible that the deck is likely to be more 'rich' in aces/kings than normal. For example, if 7 folds came round to the SB who pooshed the AK on the BB's 22. The seven folds imply that those players are less likely to have had aces or kings in their hands (since people tend to play hands with an ace or king in them to a higher degree than a random hand), and hence the deck is likely to be somewhat 'rich' right now.