It is impossible that Lily is a swan. It is impossible that Julius is gray. It is highly unlikely that Greg is a rhino. Chances are about even that if Lily is a swan, or Julius is gray, then Bernhard is a frog. It is probably not the case that if Lily is a swan, and Greg is a rhino, then Mary took the apple. We doubt that if Greg is a rhino, and Julius is gray, then John went to the garden.
It is impossible that either Julius is gray, or John went to the garden.
It is impossible that either Julius is gray, or John went to the garden.
There is a better than even chance that either Julius is gray, or John went to the garden.
Either Julius is gray, or John went to the garden.