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Equation for Risk given Return Period Formula

GoEquation for Risk Formula

GoRisk given Reliability Formula

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Risk is the probability of occurrence of an event at least once over a period of n successive years. Check FAQs

R = 1 - {(1 - (\frac{1}{T r}))}^{n}

R - Risk?T_r - Return Period?n - Successive Years?

Equation for Risk given Return Period Example

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Here is how the Equation for Risk given Return Period equation looks like with Values.

Here is how the Equation for Risk given Return Period equation looks like with Units.

Here is how the Equation for Risk given Return Period equation looks like.

0.0647 = 1 - {(1 - (\frac{1}{150}))}^{10}

0.0647 = 1 - {(1 - (\frac{1}{150}))}^{10}

0.0647 = 1 - {(1 - (\frac{1}{150}))}^{10}

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Equation for Risk given Return Period Solution

Follow our step by step solution on how to calculate Equation for Risk given Return Period?

FIRST Step Consider the formula

R = 1 - {(1 - (\frac{1}{T r}))}^{n}

Next Step Substitute values of Variables

∴

R = 1 - {(1 - (\frac{1}{150}))}^{10}

Next Step Prepare to Evaluate

∴

R = 1 - {(1 - (\frac{1}{150}))}^{10}

Next Step Evaluate

∴

R = 0.0647018107075602

LAST Step Rounding Answer

∴

R = 0.0647

Equation for Risk given Return Period Formula Elements

Variables

Risk

Risk is the probability of occurrence of an event at least once over a period of n successive years.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Risk

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.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Return Period

Successive Years

Successive Years following in order.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Successive Years

Other Formulas to find Risk

Go Equation for Risk

R = 1 - {(1 - p)}^{n}

Go Risk given Reliability

R = 1 - R e

Other formulas in Risk, Reliability and Safety Factor category

Go Probability given Return Period

p = \frac{1}{T r}

Go Return Period given Probability

T r = \frac{1}{p}

Go Reliability given Risk

R e = 1 - R

Go Reliability using Return Period

R e = {(1 - (\frac{1}{T r}))}^{n}

How to Evaluate Equation for Risk given Return Period?

Equation for Risk given Return Period evaluator uses Risk = 1-(1-(1/Return Period))^Successive Years to evaluate 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 evaluate Equation for Risk given Return Period using this online evaluator? To use this online evaluator for Equation for Risk given Return Period, enter Return Period (T_r) & Successive Years (n) and hit the calculate button.

FAQs on Equation for Risk given Return Period

What is the formula to find Equation for Risk given Return Period?

The formula of Equation for Risk given Return Period is expressed as Risk = 1-(1-(1/Return Period))^Successive Years. Here is an example- 0.064702 = 1-(1-(1/150))^10.

How to calculate Equation for Risk given Return Period?

With Return Period (T_r) & Successive Years (n) we can find Equation for Risk given Return Period using the formula - Risk = 1-(1-(1/Return Period))^Successive Years.

What are the other ways to Calculate Risk?

Here are the different ways to Calculate Risk-

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

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Equation for Risk given Return Period Formula

​GoEquation for Risk Formula

​GoRisk given Reliability Formula

Equation for Risk given Return Period Example

Equation for Risk given Return Period Solution

Equation for Risk given Return Period Formula Elements

Other Formulas to find Risk

Other formulas in Risk, Reliability and Safety Factor category

How to Evaluate Equation for Risk given Return Period?

FAQs on Equation for Risk given Return Period

Variable Name

GoEquation for Risk Formula

GoRisk given Reliability Formula