context: It is certain that Lily is yellow. It is likely that Julius is a rhino. Chances are about even that Jessica is a mouse. There is a very good chance that if Lily is yellow, or Julius is a rhino, then John put down the milk. It is highly unlikely that if either Jessica is a mouse, or Lily is yellow, then Sandra got the football. There is a better than even chance that if Lily is yellow, and Julius is a rhino, then Brian is a frog.
hypothesis: Chances are about even that either John put down the milk, or Brian is a frog.
valid_hypothesis: Chances are about even that either John put down the milk, or Brian is a frog.
invalid_hypothesis: It is impossible that either John put down the milk, or Brian is a frog.
hypothesis_assertion: Either John put down the milk, or Brian is a frog.