It is highly likely that John picked up the milk. It is probably not the case that Fred went to the hallway. Chances are slight that Daniel took the football. There is a better than even chance that if either Daniel took the football, or John picked up the milk, then Jessica is a sheep. It is probable that if Daniel took the football, or Fred went to the hallway, then Julius is a rhino. Chances are about even that if Daniel took the football, or John picked up the milk, then Bernhard is yellow.
It is almost certain that either Fred went to the hallway, or Daniel took the football.
It is probably not the case that either Fred went to the hallway, or Daniel took the football.
It is almost certain that either Fred went to the hallway, or Daniel took the football.
Either Fred went to the hallway, or Daniel took the football.