context: There is a very good chance that John left the milk. We doubt that Sandra took the apple. There is a very good chance that Lily is white. We doubt that if Lily is white, or John left the milk, then Mary went to the garden. It is probable that if either Lily is white, or Sandra took the apple, then Gertrude is a mouse. Chances are about even that if John left the milk, or Sandra took the apple, then Bernhard is gray.
hypothesis: It is probably not the case that sandra took the apple, or Mary went to the garden.
valid_hypothesis: It is probably not the case that sandra took the apple, or Mary went to the garden.
invalid_hypothesis: It is likely that sandra took the apple, or Mary went to the garden.
hypothesis_assertion: Sandra took the apple, or Mary went to the garden.