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<br />BETA VERSION 3/15/95 <br /> <br />Exceedance <br />Probability ofthe <br />Expected Annual <br />Number of <br />Floods <br /> <br />Flood <br />Exceedance <br />Probabilities <br /> <br />Interval and <br />Exceedance <br />Probabilities <br /> <br />B-C Program: Infrastructure <br /> <br />YELLOW Blocks (Results). The program calculates the Exceedance <br />Probability of the Expected Annual Number of the Interval <br />probability Floods for floods between any two flood frequencies entered <br />in the GREEN Blocks. Thus, in the example shown above, a 25-year <br />flood frequency is calculated as the difference between the annual <br />probability of a 25-year flood and the annual probability of a 75-year flood <br />(e.g., 1/25 - 1/75, or 0.040 - 0.0133). <br /> <br />Flood probabilities are often expressed as exceedance probabilities. An <br />exceedance probability means the probability of all floods greater than or <br />equal to some specified flood. Thus, the annual exceedance probability <br />for a 25-year flood means the annual probability for all floods greater than <br />or equal to the 25-year flood. <br /> <br />To avoid confusion, the distinction between interval probabilities and <br />exceedance probabilities must be clearly made. The commonly used <br />tenn, "100-yearflood," is actually an exceedance probability. In other <br />words, the 1 OO-year flood level with an annual probability of 0.01 means <br />all floods greater than or equal to this level. The interval probability of a <br />flood at exactly (within plus or minus 0.5 feet) the 1 OO-year flood level will <br />be smaller (sometimes much smaller) than the exceedance probability for <br />a 1 OO-year flood, because the exceedance probability includes ALL <br />floods greater than or equal to the 100-year flood. <br /> <br />For completeness, the benefit-cost program tabulates both exceedance <br />probabilities and interval probabilities, although all calculations are done <br />using the interval probabilities. <br /> <br />4 <br />