context: It is certain that Mary got the football. There is little chance that Lily is yellow. It is unlikely that Brian is a lion. Chances are about even that if Lily is yellow, and Mary got the football, then Gertrude is a mouse. It is likely that if Mary got the football, or Lily is yellow, then John went to the hallway. There is little chance that if either Brian is a lion, or Lily is yellow, then Emily is a cat.
hypothesis: It is improbable that either Mary got the football, or Gertrude is a mouse.
valid_hypothesis: It is almost certain that either Mary got the football, or Gertrude is a mouse.
invalid_hypothesis: It is improbable that either Mary got the football, or Gertrude is a mouse.
hypothesis_assertion: Either Mary got the football, or Gertrude is a mouse.