Yeah but distributions are just the accounting tools to keep track of your entropy. If you are missing one bit of information about a system, your understanding of the system is some distribution with one bit of entropy. Like the original comment said, the entropy is the number of bits needed to fill in the unknowns and bring the uncertainty down to zero. Your coin flips may be unknown in advance to you, and thus you model it as a 50/50 distribution, but in a deterministic universe the bits were present all along.