If the probability of a flood in any single year is is 1%, the recurrence interval is ________.

Question

BlackTom AI · Accepted Answer

The question asks about the recurrence interval (return period) given a yearly probability of a flood. The return period is calculated as the reciprocal of the annual probability of the event, assuming a constant probability from year to year and independence between years.

First, identify the given probability: p = 0.01 (which is 1%).

Next, compute the recurrence interval T as T = 1/p. Substituting p = 0.01 yields T = 1 / 0.01 = 100.

Interpreting the result, a flood with a 1% chance each year is expected on average once every 100 years. This is commonly stated as '1 in 100 years.'

If there were multiple choices, you would compare against this calculation: any option that expresses a return period of 100 years (or equivalently '1 in 100 years') would be correct. Since the provided options are missing in the prompt, the key takeaway is that a 1% annual probability corresponds to a 100-year recurrence interval, not 50, 200, or any other value.

In summary, the recurrence interval for a 1% annual flood probability is 100 years, i.e., '1 in 100 years'.

If the probability of a flood in any single year is is 1%, the recurrence interval is ________.单项选择题

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