It is likely that Lily is a swan. It is highly unlikely that Jessica is a wolf. We doubt that Jason is hungry. It is certain that if Jason is hungry, and Jessica is a wolf, then Brian is gray. It is highly unlikely that if Jason is hungry, or Jessica is a wolf, then John took the football. It is impossible that if Jessica is a wolf, or Jason is hungry, then Bernhard is white.
There is almost no chance that either John took the football, or Bernhard is white.
There is almost no chance that either John took the football, or Bernhard is white.
It is probably the case that either John took the football, or Bernhard is white.
Either John took the football, or Bernhard is white.