context: It is highly likely that John discarded the milk. It is likely that Julius is white. Chances are about even that Bill went to the office. It is likely that if either Bill went to the office, or Julius is white, then Brian is a lion. There is almost no chance that if either John discarded the milk, or Julius is white, then Gertrude is a cat. It is almost certain that if either Bill went to the office, or Julius is white, then Bernhard is a rhino.
hypothesis: There is almost no chance that either Bernhard is a rhino, or Julius is white.
valid_hypothesis: Chances are about even that either Bernhard is a rhino, or Julius is white.
invalid_hypothesis: There is almost no chance that either Bernhard is a rhino, or Julius is white.
hypothesis_assertion: Either Bernhard is a rhino, or Julius is white.