It is probably not the case that John moved to the garden. Chances are about even that Daniel took the apple. There is a very good chance that Lily is white.
It is improbable that either John moved to the garden, or Lily is white.
It is probable that either John moved to the garden, or Lily is white.
It is improbable that either John moved to the garden, or Lily is white.
Either John moved to the garden, or Lily is white.