Meh. If you think of randomness as information entropy, then the uniform distribution is the unique most random distribution. So you can argue, "when you said

Meh. If you think of randomness as information entropy, then the uniform distribution is the unique most random distribution. So you can argue, "when you said at random, it's reasonable to assume you meant completely at random (i.e. in the most random way) not just somewhat at random (e.g. 99.9%/0.1%/0%/0%)."