Back to bitmaps with most of the bits at zero...

Let's take an extreme case, a bitmap with one out of 32 bits set. We're
assuming this map is a member of a class with a significant property which
we want to recognize.

If it were a perfectly random bitmap, the probability of it turning out
this way would be quite low.

We can't expect that the actual probability that a bit will be 1, in a
bitmap with this property, is 1/32. But from what we know so far, that is
our best guess.

If that's true, is it likely that this particular bit being on is purely
by chance. Not likely; someone with more facility with statistics can
probably tell us exactly how likely, and that may be useful.

Meanwhile, in deciding which bits to mask out for a map intended to test
for this particular property, I am guessing that I'd want to make the
probability of this bit being masked is (at most) 1/32, while the ideal
probability that any particular other bit in the test map should be masked
might be 31/32.

? A good conjecture? Or just plausible? Anyone here have ideas on this?

Forrest Curo



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