We believe that Mary went to the office. It is unlikely that Julius is a frog. We believe that John left the apple. Chances are about even that if either Julius is a frog, or John left the apple, then Jeff discarded the milk. It is highly likely that if Julius is a frog, or Mary went to the office, then Lily is white. It is highly likely that if Mary went to the office, and Julius is a frog, then Greg is white.
It is probably the case that jeff discarded the milk, and Mary went to the office.
It is probably not the case that jeff discarded the milk, and Mary went to the office.
It is probably the case that jeff discarded the milk, and Mary went to the office.
Jeff discarded the milk, and Mary went to the office.