context: It is impossible that Lily is yellow. It is probably the case that Mary put down the apple. Chances are slight that Julie is in the kitchen. It is likely that if Mary put down the apple, or Julie is in the kitchen, then Brian is a frog. There is a better than even chance that if Julie is in the kitchen, and Mary put down the apple, then Fred went to the hallway. There is a very good chance that if Mary put down the apple, or Lily is yellow, then Sandra got the football.
hypothesis: There is a better than even chance that fred went to the hallway, or Sandra got the football.
valid_hypothesis: There is a better than even chance that fred went to the hallway, or Sandra got the football.
invalid_hypothesis: It is improbable that fred went to the hallway, or Sandra got the football.
hypothesis_assertion: Fred went to the hallway, or Sandra got the football.