context: Chances are slight that Brian is gray. It is probably not the case that Greg is white. It is probably not the case that Mary went to the office. There is a very good chance that if either Greg is white, or Mary went to the office, then Lily is green. There is almost no chance that if Greg is white, or Mary went to the office, then Bernhard is a rhino. It is highly unlikely that if either Mary went to the office, or Brian is gray, then John dropped the apple.
hypothesis: There is almost no chance that lily is green, or Greg is white.
valid_hypothesis: Chances are about even that lily is green, or Greg is white.
invalid_hypothesis: There is almost no chance that lily is green, or Greg is white.
hypothesis_assertion: Lily is green, or Greg is white.