[dagw]

Any stochastic process will have variability for a given set of inputs

If you're modelling stochastic processes it's important to be able to set the random seed you can reproduce your simulations. So for a given set of inputs you should get the same output, given that one of the inputs is your seed.

[dr_zoidberg]

Until you change how you consume randomness, and the order isn't the same anymore.