context: It is improbable that John took the apple. There is almost no chance that Daniel is in the garden. Chances are about even that Julius is a swan. Chances are about even that if Julius is a swan, and Daniel is in the garden, then Bill dropped the milk. It is probable that if John took the apple, or Daniel is in the garden, then Lily is green. It is unlikely that if Daniel is in the garden, or John took the apple, then Bernhard is green.
hypothesis: There is almost no chance that either Lily is green, or Julius is a swan.
valid_hypothesis: Chances are about even that either Lily is green, or Julius is a swan.
invalid_hypothesis: There is almost no chance that either Lily is green, or Julius is a swan.
hypothesis_assertion: Either Lily is green, or Julius is a swan.