context: We believe that Greg is white. It is probably the case that Bernhard is gray. There is almost no chance that Lily is yellow. It is highly likely that if Bernhard is gray, or Lily is yellow, then Jeff went to the office. There is a better than even chance that if Bernhard is gray, or Lily is yellow, then Mary took the milk. Chances are slight that if Greg is white, and Lily is yellow, then Sandra grabbed the apple.
hypothesis: It is probably not the case that either Mary took the milk, or Bernhard is gray.
valid_hypothesis: It is probably not the case that either Mary took the milk, or Bernhard is gray.
invalid_hypothesis: There is a very good chance that either Mary took the milk, or Bernhard is gray.
hypothesis_assertion: Either Mary took the milk, or Bernhard is gray.