A house you’re interested in buying would be affected by 20-year floods. What is the probability of that happening in any given year?
Question
A house you’re interested in buying would be affected by 20-year floods. What is the probability of that happening in any given year?
Solution
The term "20-year flood" refers to a flood event that has a 1 in 20 chance of happening in any given year. This is also known as a flood with a 5% probability of occurring each year.
Here's how you calculate it:
Step 1: Understand that "20-year flood" means that the flood has a 1 in 20 chance of happening in any given year.
Step 2: To convert this to a percentage, you divide 1 by 20.
Step 3: 1 ÷ 20 = 0.05.
Step 4: To express 0.05 as a percentage, you multiply by 100.
Step 5: 0.05 x 100 = 5%.
So, the probability of a 20-year flood happening in any given year is 5%.
Similar Questions
How many Australian houses are at risk of coastal flooding if we had a 1m rise in sea levels?Group of answer choicesMore than 1 millionUp to 50,000Up to 250,000Up to 100,000Up to 500,000
What are the discharges expected in a 30 – year flood? 40 – year flood? 100 – year flood?2. After a 40 – year flood happens, can this happen again after a year?Conclusion:
From historical data, it was found that the rainfall received by Kerala in the month of August was normally distributed with a mean of 1,600 mm and a standard deviation of 400 mm. Let’s suppose that floods are caused when the rainfall in August exceeds 2,400 mm. What is the probability that the state would experience a flood?
Name: Date:Grade and Section:Flood Recurrence IntervalObjective: Forecast floods from estimates f recurrence interval and probability of exceedance of riverdischarge.Date Discharge, m3/sec Rank, m Recurrence Interval, R28 March 2005 159.684 February 2006 327.3622 February 2007 209.523 February 2008 90.612 February 2009 113.281 March 2010 78.44 May 2011 152.922 April 2012 135.9216 April 2013 96.286 August 2014 271.8424 February 2015 100.81 February 2016 167.6419 March 2017 169.929 February 2018 147.2411 June 2019 192.5618 April 2020 249.221 Mar 2021 207.289 February 2022 126.8427 March 2023 84.965 March 2024 141.61. Rank the discharges from 1 – 20. Rank 1 shall be assigned to the maximum discharge in 20-years.2. Compute for the recurrence interval for each peak discharge by plugging in the values n andm. Use the Weibull Equation.3. Plot the recurrence interval (x-axis) versus the discharge (y-axis) using the graph.4. Draw a best – fit line through the data points (the line does not necessarily have to pass throughall the points).5. Do linear extrapolation by extending the trend line beyond the actual data plotted.Analysis:1. What are the discharges expected in a 30 – year flood? 40 – year flood? 100 – year flood?2. After a 40 – year flood happens, can this happen again after a year?Conclusion:
t was calculated that the floods were caused by a rainfall of 2,200 mm. Based on the given information, what is the probability that the state will receive more than 2,200 mm of rainfall in this period?3.5%4.8%1.2%6.7%
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.