Random stuff happening for no reason with no pattern or constraint runs afloul of the principle of sufficient reason. The PSR is a basic assumption of intelligibility. Events happening with no cause can't be made sense of. Everything that happens is brute in the worst way possible. By the standards of reason, it is maximally unintelligible. We must rationally give higher credence to any other explanation, i.e. an order and law-based universe.
One might say the universe has no obligation to be intelligible to us, and perhaps that true. But we have an obligation to intelligible beliefs. In being able to ask the question of why the world is law-based, we're rationally constrained in the answer we can accept. You can see it as an application of the anthropic principle, but I think it's more basic than that. If there is sense to be made of anything (in a logical sense that is prior to the universe), then the universe must also make sense.
One might say the universe has no obligation to be intelligible to us, and perhaps that true. But we have an obligation to intelligible beliefs. In being able to ask the question of why the world is law-based, we're rationally constrained in the answer we can accept. You can see it as an application of the anthropic principle, but I think it's more basic than that. If there is sense to be made of anything (in a logical sense that is prior to the universe), then the universe must also make sense.