context: It is probable that Bernhard is gray. It is probable that Julius is gray. It is probably not the case that Bill went to the kitchen.
hypothesis: There is a better than even chance that either Bill went to the kitchen, or Julius is gray.
valid_hypothesis: There is a better than even chance that either Bill went to the kitchen, or Julius is gray.
invalid_hypothesis: It is impossible that either Bill went to the kitchen, or Julius is gray.
hypothesis_assertion: Either Bill went to the kitchen, or Julius is gray.