context: It is probable that Mary got the football. It is probably the case that Julius is gray. It is improbable that Lily is green. There is little chance that if either Mary got the football, or Julius is gray, then Daniel took the milk. We doubt that if either Mary got the football, or Julius is gray, then John went to the office. It is unlikely that if Julius is gray, or Mary got the football, then Sandra grabbed the apple.
hypothesis: It is improbable that either Sandra grabbed the apple, or Mary got the football.
valid_hypothesis: There is a better than even chance that either Sandra grabbed the apple, or Mary got the football.
invalid_hypothesis: It is improbable that either Sandra grabbed the apple, or Mary got the football.
hypothesis_assertion: Either Sandra grabbed the apple, or Mary got the football.