This assumes countable additivity. Otherwise, each basic event could have probability zero, though the whole has probability 1.
I’m inclined to use countable additivity, but I couldn’t give you arguments for it, other than by sketching models that violate it and pointing out that they are weird.
This assumes countable additivity. Otherwise, each basic event could have probability zero, though the whole has probability 1.
I’m inclined to use countable additivity, but I couldn’t give you arguments for it, other than by sketching models that violate it and pointing out that they are weird.