context: We believe that John got the apple. It is likely that Sandra took the football. It is impossible that Mary went to the office. There is a better than even chance that if Mary went to the office, or John got the apple, then Julius is a frog. It is highly unlikely that if Mary went to the office, and John got the apple, then Bernhard is a swan. We doubt that if John got the apple, or Sandra took the football, then Greg is yellow.
hypothesis: It is almost certain that either John got the apple, or Sandra took the football.
valid_hypothesis: Chances are about even that either John got the apple, or Sandra took the football.
invalid_hypothesis: It is almost certain that either John got the apple, or Sandra took the football.
hypothesis_assertion: Either John got the apple, or Sandra took the football.