context: It is highly likely that Julius is gray. It is probable that Bernhard is white. It is probably the case that Fred left the football. It is probably the case that if Fred left the football, or Bernhard is white, then Mary put down the milk. There is little chance that if Bernhard is white, or Julius is gray, then Lily is gray. It is probably the case that if Julius is gray, and Fred left the football, then Daniel dropped the apple.
hypothesis: There is a better than even chance that julius is gray, and Mary put down the milk.
valid_hypothesis: There is a better than even chance that julius is gray, and Mary put down the milk.
invalid_hypothesis: It is highly unlikely that julius is gray, and Mary put down the milk.
hypothesis_assertion: Julius is gray, and Mary put down the milk.