Quantum theory, String theory, And General Relativity all point to determinism, as does the vast majority of eastern and western philosophy.
A non-deterministic universe seems (at least to me) far too chaotic and inconsistent to really be considered: If you toss a die, the number that comes on top is not really random, as a multitude of forces lead to the outcome, a la the forces of how much you throw it, the spin you put on it, the details of the surface it lands on, the air pressure of the environment you toss it in, et cetera...all these factors and events come together to permit (see: determine) only one outcome of such a die toss, and all these forces had all their own forces that lead up to their own events, and et cetera, all the way back to the big bang.