At our last Fourth Friday Free Film showing, our favorite critic argued that hydrogen and oxygen naturally combine to form water, which is a more complex structure, and therefore contains more information than hydrogen and oxygen alone. He confused structure with information. The carbon atoms in a diamond are arranged in a neat crystal structure. The carbon atoms in a lump of coal are not. The carbon atoms in a diamond don't have any more information than the carbon atoms in coal.
Information is coded in patterns that have meaning to the receiver.
Water molecules and diamonds don't contain patterns that represent information. Yes, they have structure, but no, they don't have information. Random chance does not produce information. There is no scientific evidence that even a small amount of information can be generated by chance. There is scientific evidence that random changes to a message can remove information.