
The classical definition of probability works well for situations with only a finite number of equally-likely outcomes.
Does probability measure the real, physical tendency of something to occur, or is it just a measure of how strongly one believes it will occur? In answering such questions, we interpret the probability values of probability theory.
I am entering a cave, what will I find in there? A bear! Do bears hang out in caves?. Once inside the cave will there be flooding?
How do I evaluate these probabilities?
Do I employ epistemic (degrees of rational belief) probabiity, or inductive, or plain old logic?
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