context: 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.
hypothesis: It is highly unlikely that mary went to the office, and Julius is white.
valid_hypothesis: It is highly unlikely that mary went to the office, and Julius is white.
invalid_hypothesis: It is highly likely that mary went to the office, and Julius is white.
hypothesis_assertion: Mary went to the office, and Julius is white.