In practice the number of simulated scenarii is quite large which is what I meant by "every". Not rigorous though, I concur. Monte Carlo methods are used to so

In practice the number of simulated scenarii is quite large which is what I meant by "every". Not rigorous though, I concur. Monte Carlo methods are used to solve partial differential equations, I found both approaches similar in the sense that they look at how the system actually/could behave, instead of looking at the equations solely.