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And for once, I actually agree with Sklansky rigor. Tournament reseating is the perfect way to conceptualize this problem, for those who already have experience with poker tournaments.

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I can't even tell when you're being sarcastic anymore, lol.

What needs to be proven re: independent outcomes? Algebraically A's probability of receiving his seat doesn't change after B receives an unknown seat:
<font color="white">..</font>(1/n)(0) + ((n-1)/n)(1/(n-1)) = 1/n

So it seems to follow by induction that no B,C,D...Z...(n-1) prior assignments would ever change the algebraic probability for A receiving his seat. Is algebra not good enough here?