It is probable that Mary went to the office. There is a better than even chance that Julius is white. It is highly likely that Brian is a frog. It is certain that if either Julius is white, or Brian is a frog, then Jeff discarded the apple. It is probably not the case that if Julius is white, or Brian is a frog, then Sandra got the milk. It is unlikely that if Brian is a frog, or Mary went to the office, then Lily is white.
It is probably not the case that either Sandra got the milk, or Lily is white.
It is probably not the case that either Sandra got the milk, or Lily is white.
There is a very good chance that either Sandra got the milk, or Lily is white.
Either Sandra got the milk, or Lily is white.