The analogy that came to my mind was that if you take a deck of playing cards and lay all the cards out on a table, face down, the table weighs a certain amount

The analogy that came to my mind was that if you take a deck of playing cards and lay all the cards out on a table, face down, the table weighs a certain amount (the table's weight, plus weight of the cards). Then, if you flip over five cards at random, you have created enough new information to make a poker hand. But, the weight of the table did not change when you created that information.