Chances are slight that John picked up the apple. It is impossible that Lily is a swan. It is highly unlikely that Julius is white. It is probable that if either Julius is white, or Lily is a swan, then Mary went to the garden. Chances are about even that if either Julius is white, or Lily is a swan, then Bernhard is gray. There is little chance that if Julius is white, and Lily is a swan, then Emily is a mouse.
It is improbable that john picked up the apple, or Julius is white.
It is improbable that john picked up the apple, or Julius is white.
It is probably the case that john picked up the apple, or Julius is white.
John picked up the apple, or Julius is white.