context: It is improbable that Bernhard is a swan. Chances are slight that Julius is a frog. There is a very good chance that Gertrude is a mouse. It is highly unlikely that if Julius is a frog, or Bernhard is a swan, then Brian is a lion. It is improbable that if Bernhard is a swan, and Julius is a frog, then John went to the garden. It is probable that if either Julius is a frog, or Gertrude is a mouse, then Daniel took the football.
hypothesis: It is highly unlikely that either John went to the garden, or Daniel took the football.
valid_hypothesis: Chances are about even that either John went to the garden, or Daniel took the football.
invalid_hypothesis: It is highly unlikely that either John went to the garden, or Daniel took the football.
hypothesis_assertion: Either John went to the garden, or Daniel took the football.