Probability (n.) theory rests on the fact that a more general, less complete description is likelier to fit the facts.
Probability (n.) is what we use in default of certainty — when we don't know a fact completely but do know something of its form.
Probability (n.) that an emotion is genuine refers not to our degree of confidence but to the kind of justification, the language-game.
Probability (n.) is all some people will grant the boiling of water over a fire, calling the freeze merely improbable — and the difference in their lives is that they talk rather more.
Probability (n.) of drawing a white ball equal to a black one means only that the circumstances I know of favour neither — what the urn experiment confirms is my ignorance being evenly spread.