It is a curious fact

of mathematics

that convergence in probability

does not imply convergence almost surely.

For example,

a bad dream which comes every *n* nights

converges

(in probability)

to a good night’s sleep

each night

as *n* gets big.

And yet the probability

of no bad dreams

–even in the limit–

is less than one.

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to some of us it still might as well be yiddish