Roll a die 10,000 times: you discover the real probability of each face. Monte Carlo applies that logic to your FIRE plan. Each roll is a full 30-year market scenario. After 10,000 rolls, you have your success rate.
No market returns 7% every year. It returns +30% one year, −20% the next, sometimes −40% two years in a row. A smooth projection tells you 'FIRE at 52.' Monte Carlo tells you 'FIRE at 52 in 88% of cases, at 58 in the worst 10%.' Those two sentences do not lead to the same decision.
P10 (pessimistic). 10% of draws do worse. Capital to watch: if your P10 sits below your non-negotiable expenses, the plan is fragile. P50 (median). The central draw. 50% do better, 50% do worse. Never reason on this line alone. P90 (optimistic). 10% of draws do better. Useful for framing a Fat FIRE goal, not for deciding to quit your job. Success rate. Share of draws where your capital does not hit zero before the end. Above 90%: robust. 80 to 90%: keep an eye on it. Below 80%: rethink.