After Hurricane Katrina, Congress mandated that hurricane protection for New Orleans be improved to a once-in-a-100-years standard, meaning that there is only a 1/100 probability of failing in any given year. Suppose you take out a 30-year mortgage to buy a home in this area. If the probability of failing is 1/100, and assuming independence, what is the probability of at least one failure in the next 30 years?