Probability always assume that the true answer exists somewhere, we just
don't know it. This was the example of the land/sea problem: What does it mean
to have a region which is 0.3 land ? that it is 70% of its area is sea ? or
that 30% of the reports you got about it said it was 'land' ? Or the region
is flooded 70% of the year ? or maybe it is just a big swamp ?
I think any of these interpretations can be translated to some probability
problem, but each of them is deferent. It depends on what you ask for, and
anything you do with the datum depends on what you think it means. The only
sure thing is that this are is 'less' land than a 0.32 land region.
You may try this problem: If region A is 30% land, and region B is 60% land,
how about the combined region of A and B ? it yields different results for
each interpretation.
-----------------
Piglet sidled up to Pooh from behind.
"Pooh?" he whispered.
"Yes, Piglet?"
"Nothing," said Piglet, taking Pooh's paw, "I just wanted to be sure
of you." -A.A.Milne ( thanks to Jo Ann )
-Moddy (moddy@wisdom.weizmann.ac.il)