I’m by no means a mathematician and the light bulb experiment as explained is not really clear but it seems to me that the author is suggesting that order can come from randomness? However in his light bulb experiment, he begins with a clock that ticks off very ordered one-second increments.
There are different kinds of order, and random also has different and contrary meanings. We can probably get this topic organized but we will have to focus our efforts considerably beyond the common gut feel kind of understanding.