Or you could argue formally by pointing out that the maximum entropy distribution on the interval [0,1] is the uniform distribution, so modifying that distribut

Or you could argue formally by pointing out that the maximum entropy distribution on the interval [0,1] is the uniform distribution, so modifying that distribution will only decrease its entropy, which means that it's "more predictable". http://en.wikipedia.org/wiki/Entropy_(information_theory) http://en.wikipedia.org/wiki/Entropy_(information_theory) http://en.wikipedia.org/wiki/Maximum_entropy_probability_distribution#Uniform_and_piecewise_uniform_distributions http://en.wikipedia.org/wiki/Maximum_entropy_probability_dis...