I always get a sense of achievement when I side-step the analysis of a problem with a stupid, straight-forward simulation script (usually probability questions)

I always get a sense of achievement when I side-step the analysis of a problem with a stupid, straight-forward simulation script (usually probability questions). It may burn several seconds of CPU and still get me only 3 significant digits, when a one-step solution exists. But I'm more confident in the result because the script is near-impossible to get wrong, compared to some theory I just learned, or a probability distribution that turns out to have conflicting definitions what its parameters mean.