Equation for Risk given Return Period Calculator

✖Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.ⓘ Return Period [T_r]			+10% -10%
✖Successive Years following in order.ⓘ Successive Years [n]			+10% -10%

✖Risk is the probability of occurrence of an event at least once over a period of n successive years.ⓘ Equation for Risk given Return Period [R]

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Formula

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Equation for Risk given Return Period

Formula

`"R" = 1-(1-(1/"T"_{"r"}))^"n"`

Example

`"0.064702"=1-(1-(1/"150"))^"10"`

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Download Risk, Reliability and Log-Pearson Distribution Formulas PDF

Equation for Risk given Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Risk = 1-(1-(1/Return Period))^Successive Years
R = 1-(1-(1/T_r))^n
This formula uses 3 Variables

Variables Used

Risk - Risk is the probability of occurrence of an event at least once over a period of n successive years.
Return Period - Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur.
Successive Years - Successive Years following in order.

STEP 1: Convert Input(s) to Base Unit

Return Period: 150 --> No Conversion Required
Successive Years: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = 1-(1-(1/T_r))^n --> 1-(1-(1/150))^10

Evaluating ... ...

R = 0.0647018107075602

STEP 3: Convert Result to Output's Unit

0.0647018107075602 --> No Conversion Required

FINAL ANSWER

0.0647018107075602 ≈ 0.064702 <-- Risk

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Floods » Risk, Reliability and Log-Pearson Distribution » Risk, Reliability and Safety Factor » Equation for Risk given Return Period

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Coorg Institute of Technology (CIT), Coorg

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< 11 Risk, Reliability and Safety Factor Calculators

Value of Parameter obtained from Hydrological Considerations given Safety Factor

Go Value of Parameter = Actual Value of the Parameter/Safety Factor

Actual Value of Parameter Adopted in Design of Project given Safety Factor

Go Actual Value of the Parameter = Safety Factor*Value of Parameter

Equation for Safety Factor

Go Safety Factor = Actual Value of the Parameter/Value of Parameter

Equation for Safety Margin

Go Safety Margin = Actual Value of the Parameter-Value of Parameter

Reliability using Return Period

Go Reliability = (1-(1/Return Period))^Successive Years

Equation for Risk given Return Period

Go Risk = 1-(1-(1/Return Period))^Successive Years

Equation for Risk

Go Risk = 1-(1-Probability)^Successive Years

Probability given Return Period

Go Probability = 1/Return Period

Return Period given Probability

Go Return Period = 1/Probability

Reliability given Risk

Go Reliability = 1-Risk

Risk given Reliability

Go Risk = 1-Reliability

Equation for Risk given Return Period Formula

Risk = 1-(1-(1/Return Period))^Successive Years
R = 1-(1-(1/T_r))^n

What is Log-Pearson Type III distribution?

The Log-Pearson Type III distribution is a statistical technique for fitting frequency distribution data to predict the design flood for a river at some site. Once the statistical information is calculated for the river site, a frequency distribution can be constructed.

How to Calculate Equation for Risk given Return Period?

Equation for Risk given Return Period calculator uses Risk = 1-(1-(1/Return Period))^Successive Years to calculate the Risk, The Equation for Risk given Return Period formula is defined as the probability of occurrence of an event at least once for n successive years. Risk is denoted by R symbol.

How to calculate Equation for Risk given Return Period using this online calculator? To use this online calculator for Equation for Risk given Return Period, enter Return Period (T_r) & Successive Years (n) and hit the calculate button. Here is how the Equation for Risk given Return Period calculation can be explained with given input values -> 0.064702 = 1-(1-(1/150))^10.

FAQ

What is Equation for Risk given Return Period?

The Equation for Risk given Return Period formula is defined as the probability of occurrence of an event at least once for n successive years and is represented as R = 1-(1-(1/T_r))^n or Risk = 1-(1-(1/Return Period))^Successive Years. Return Period [Years] is an average time or an estimated average time between events such as earthquakes, floods, landslides, or a river discharge flows to occur & Successive Years following in order.

How to calculate Equation for Risk given Return Period?

The Equation for Risk given Return Period formula is defined as the probability of occurrence of an event at least once for n successive years is calculated using Risk = 1-(1-(1/Return Period))^Successive Years. To calculate Equation for Risk given Return Period, you need Return Period (T_r) & Successive Years (n). With our tool, you need to enter the respective value for Return Period & Successive Years and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Risk?

In this formula, Risk uses Return Period & Successive Years. We can use 2 other way(s) to calculate the same, which is/are as follows -

Risk = 1-(1-Probability)^Successive Years
Risk = 1-Reliability

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