I have often argued that there isn't really randomness, just the appearance of randomness, and that this appearance of randomness happens because we don't know all the variables.
I am not so certain anymore. There is no doubt that "randomness" is a useful concept in the context of our lives, but the problem probably lies in the definition.
Also, I am not sure that the concept of probability can be said to exist or not. It is a way of understanding, a method of calculating to acquire a certain kind of information which we place value on. Probability only deals with events in relation to expectations of those events. It is a human relational mechanism. I think there may be much to learn by thinking of all of humanity's social interactions in probabilistic terms. We could ask ourselves if the level of advancement our species reaches relates to the few, brilliant individuals, or if it just relates to our numbers.
If you have a population of one thousand, what is the probability that someone thinks of a way to land on the moon? How much more likely does that become if the population is increased to 1 billion?
We are a few billion people by now. How many do we have to be for the event of discovering insterstellar travel to become likely to happen?
I don't know of any models that try to think of it this way, though that is no indication they don't exist. I haven't really looked that hard for them. But someone probably tried to answer the question; is there a connection between the advancement of our species and the size of the population? My initial thought is that there has to be.