context: It is impossible that Sandra took the football. Chances are about even that Bill left the milk. It is improbable that John went to the kitchen. It is highly unlikely that if either Sandra took the football, or John went to the kitchen, then Greg is green. It is certain that if John went to the kitchen, or Bill left the milk, then Julius is white. There is almost no chance that if Bill left the milk, or Sandra took the football, then Lily is a lion.
hypothesis: Chances are about even that either Lily is a lion, or Bill left the milk.
valid_hypothesis: Chances are about even that either Lily is a lion, or Bill left the milk.
invalid_hypothesis: It is highly unlikely that either Lily is a lion, or Bill left the milk.
hypothesis_assertion: Either Lily is a lion, or Bill left the milk.