  Zurek's proposed total entropy, given by the sum of the Boltzmannian entropy and the algorithmic complexity, is a property of the individual microstates, rather than of the probability distribution over the outcomes. It can decrease during macroscopically indeterministic processes, if a particularly algorithmically simple sequence of outcomes happens to occur. However, unlike the Boltzmann entropy, even during macroscopically indeterministic processes it does not decrease on average.