Entropy is not a property of the string you got, but of the strings you could have obtained instead. In other words, it qualifies the process by which the string was generated.

the entropy of a random variable is the average level of "information", "surprise", or "uncertainty" inherent to the variable's possible outcomes

William James’s self-assessment: “I am no lover of disorder, but fear to lose truth by the pretension to possess it entirely.”

The main purpose of this book is to go one step forward, not onlyto use the principle of maximum entropy in predicting probabilitydistributions, but to replace altogether the concept of entropy withthe more suitable concept of information, or better yet, the missinginformation (MI).

Levine, R. D. and Tribus, M (eds) (1979),The Maximum Entropy Principle,MIT Press, Cambridge, MA.