context: It is probable that Mary went to the kitchen. Chances are slight that John put down the milk. It is probably the case that Daniel got the apple. It is probably not the case that if either John put down the milk, or Daniel got the apple, then Brian is gray. Chances are about even that if Mary went to the kitchen, and John put down the milk, then Bernhard is white. It is probably not the case that if either Daniel got the apple, or Mary went to the kitchen, then Julius is white.
hypothesis: It is probably not the case that mary went to the kitchen, or Bernhard is white.
valid_hypothesis: It is probable that mary went to the kitchen, or Bernhard is white.
invalid_hypothesis: It is probably not the case that mary went to the kitchen, or Bernhard is white.
hypothesis_assertion: Mary went to the kitchen, or Bernhard is white.