The 100-year flood has a 26% chance.

Over a 30-year mortgage. The name is the problem, not the math.

“100-year flood” sounds like something that happens once a century. It isn’t. It’s a flood with a 1% chance of happening in any given year, and FEMA’s flood maps are built around it. The name describes an average over a very long time, not a schedule.

The math

If a flood has probability p in any year, the chance of seeing it at least once in n years is:

P = 1 − (1 − p)ⁿ → 1 − 0.99³⁰ ≈ 0.26

For a 30-year mortgage, that’s about 26%. Over longer horizons it climbs quickly.

9.6%10 YEARS26.0%30 YEARS39.5%50 YEARS63.4%100 YEARS
Chance of at least one 1% annual chance flood, by number of years.

It can happen twice

Each year is a fresh roll of the dice. A 1% flood this year doesn’t make one less likely next year. Communities sometimes see two “100-year” floods within a few years and assume something is wrong with the math. Usually the math is fine and the name is misleading.

The flood map shows probability, not a promise.

What it means for you

Start with a flood zone check, then talk to an engineer if the site is in or near the floodplain.

Draft written for Creel’s review before publishing. General information, not engineering advice for a specific site.

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