context: It is unlikely that Sandra left the football. It is highly likely that Gertrude is a mouse. It is probably not the case that Lily is white. Chances are about even that if Lily is white, or Sandra left the football, then Greg is gray. It is probable that if Lily is white, or Sandra left the football, then John went to the office. It is likely that if either Gertrude is a mouse, or Lily is white, then Julius is yellow.
hypothesis: It is improbable that sandra left the football, and Greg is gray.
valid_hypothesis: It is improbable that sandra left the football, and Greg is gray.
invalid_hypothesis: It is almost certain that sandra left the football, and Greg is gray.
hypothesis_assertion: Sandra left the football, and Greg is gray.