context: It is probable that Julie is in the office. There is almost no chance that Lily is gray. We doubt that Greg is white. It is certain that if either Julie is in the office, or Greg is white, then Mary left the football. There is little chance that if Lily is gray, or Greg is white, then Julius is a swan. It is probable that if Julie is in the office, or Lily is gray, then John picked up the milk.
hypothesis: Chances are about even that either John picked up the milk, or Lily is gray.
valid_hypothesis: Chances are about even that either John picked up the milk, or Lily is gray.
invalid_hypothesis: It is impossible that either John picked up the milk, or Lily is gray.
hypothesis_assertion: Either John picked up the milk, or Lily is gray.