It is highly unlikely that Bill went to the bedroom. It is highly likely that Bernhard is a frog. It is likely that Sandra took the football. There is little chance that if Sandra took the football, and Bernhard is a frog, then John got the apple. There is almost no chance that if Bill went to the bedroom, or Sandra took the football, then Greg is a rhino. There is a better than even chance that if Bernhard is a frog, or Sandra took the football, then Lily is white.
It is highly likely that lily is white, and John got the apple.
It is highly unlikely that lily is white, and John got the apple.
It is highly likely that lily is white, and John got the apple.
Lily is white, and John got the apple.