It is probable that Lily is yellow. It is likely that Julius is white. There is a very good chance that John took the football. Chances are slight that if John took the football, and Julius is white, then Brian is a lion. It is impossible that if either Lily is yellow, or Julius is white, then Jessica is a wolf. It is improbable that if Julius is white, or Lily is yellow, then Mary went to the office.
It is highly unlikely that mary went to the office, and Julius is white.
This example is invalid.