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probability question for math-heads
I'm too tired &/or busy to work this out, via Knuth --- maybe you can
help, with some implications for the DES keysearch strategy.
What is the expected distribution, in a "random" binary sequence --
with all the fuzziness that implies as to what _exactly_ is "random" --
of gaps between runs of same-bits.
i.e. what is the expected distribution of sequence length between
occurances of two (and only two) 1-bits in a row? how about sequences
of 3 1-bits? ETc.
We know that in a _truly_ random sequence, taken over a long enough
period, there should be all possible values of "gaps". But what is
reasonable to expect in a "random" sequence as to how those gaps are
distributed? Is my question equivalent to Knuth's gap test?
If anyone feels like proffering some education on this, if I find
anything useful in my investigations I'll certainly credit the help!
TIA, etc. -- and hey: doesn't Nickelodeon have a trademark on GAK?