Boys and Girls Together...

I asked The Statistical Mechanic (AKA Wolfgang) for his opinion on the subject of the Landsburg-Motl Gotterdammerung. I hope he won't mind my quoting most of his post on the subject here:

If E() denotes expectation values, then E(x/y) is in general not E(x)/E(y). If x is the number of girls and y enumerates the boys then we have pretty much described the whole debate about this puzzle already.
Furthermore, notice that E(x/y) is in many cases not well defined and the sum or (in general) the integral Int[ dx dy (x/y) p(x) p(y) ] will not necessarily equal 1 even if p is normalized and does vanish around zero values of x, y.

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