context: Chances are about even that Bernhard is a lion. It is certain that Mary went to the office. Chances are about even that Brian is gray. It is probable that if Mary went to the office, or Bernhard is a lion, then Fred is in the kitchen. There is a very good chance that if either Brian is gray, or Mary went to the office, then John picked up the milk. There is a better than even chance that if either Mary went to the office, or Bernhard is a lion, then Julius is a swan.
hypothesis: There is almost no chance that either John picked up the milk, or Mary went to the office.
valid_hypothesis: There is a better than even chance that either John picked up the milk, or Mary went to the office.
invalid_hypothesis: There is almost no chance that either John picked up the milk, or Mary went to the office.
hypothesis_assertion: Either John picked up the milk, or Mary went to the office.