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Let's take a simple voltage divider AND you are only interested in resistor tolerances, not supply tolerances (assume psu is ideal)

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It is trivial to calculate the nominal, minimum and maximum

max: \$10\cdot \frac{10k*1.01}{(10k*1.01) + (10k*0.99)}\$ = 5.05V

nom: \$10\cdot \frac{10k}{10k + 10k}\$ = 5V

min:\$10\cdot \frac{10k*0.99}{(10k*1.01) + (10k*0.99)}\$ = 4.95V

Can a Monte-Carlo output this value? Probably, a very very VERY small probably occurrence. Why?

A Monte-Carlo simulation will generate a random value within stated bounds (normal distributed, 1%, mean value). Statistically speaking it could generate, but this is a one in a million type occurrence. To then pick the absolute max and hte absolute minimum, in the same run? I would rather bet on a national lottery.

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user16222