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Probability given Return Period Formula

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Probability of occurrence of an event (x ≥ xt), of how likely an event is to occur, or how likely it is that a proposition is true. Check FAQs

p = \frac{1}{T r}

p - Probability?T_r - Return Period?

Probability given Return Period Example

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Here is how the Probability given Return Period equation looks like with Values.

Here is how the Probability given Return Period equation looks like with Units.

Here is how the Probability given Return Period equation looks like.

0.0067 = \frac{1}{150}

0.0067 = \frac{1}{150}

0.0067 = \frac{1}{150}

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Probability given Return Period Solution

Follow our step by step solution on how to calculate Probability given Return Period?

FIRST Step Consider the formula

p = \frac{1}{T r}

Next Step Substitute values of Variables

∴

p = \frac{1}{150}

Next Step Prepare to Evaluate

∴

p = \frac{1}{150}

Next Step Evaluate

∴

p = 0.00666666666666667

LAST Step Rounding Answer

∴

p = 0.0067

Probability given Return Period Formula Elements

Variables

Probability

Probability of occurrence of an event (x ≥ xt), of how likely an event is to occur, or how likely it is that a proposition is true.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probability

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

Other formulas in Risk, Reliability and Safety Factor category

Go Equation for Risk

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

Go Equation for Risk given Return Period

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

Go Return Period given Probability

T r = \frac{1}{p}

Go Reliability given Risk

R e = 1 - R

How to Evaluate Probability given Return Period?

Probability given Return Period evaluator uses Probability = 1/Return Period to evaluate the Probability, The Probability given Return Period formula is defined as the probability of occurrence of an event at least once throughout n successive years. Probability is denoted by p symbol.

How to evaluate Probability given Return Period using this online evaluator? To use this online evaluator for Probability given Return Period, enter Return Period (T_r) and hit the calculate button.

FAQs on Probability given Return Period

What is the formula to find Probability given Return Period?

The formula of Probability given Return Period is expressed as Probability = 1/Return Period. Here is an example- 0.006667 = 1/150.

How to calculate Probability given Return Period?

With Return Period (T_r) we can find Probability given Return Period using the formula - Probability = 1/Return Period.

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