It is highly likely that Fred went to the kitchen. We believe that Gertrude is a mouse. It is impossible that Lily is a rhino. It is unlikely that if Gertrude is a mouse, and Lily is a rhino, then Emily is a mouse. It is highly unlikely that if Gertrude is a mouse, or Lily is a rhino, then Bernhard is a swan. It is unlikely that if Fred went to the kitchen, and Lily is a rhino, then Bill left the milk.
It is highly unlikely that either Bill left the milk, or Bernhard is a swan.
It is highly unlikely that either Bill left the milk, or Bernhard is a swan.
It is almost certain that either Bill left the milk, or Bernhard is a swan.
Either Bill left the milk, or Bernhard is a swan.