Probability 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]

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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.ⓘ Probability given Return Period [p]

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Formula

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Probability given Return Period

Formula

`"p" = 1/"T"_{"r"}`

Example

`"0.006667"=1/"150"`

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Download Risk, Reliability and Log-Pearson Distribution Formulas PDF

Probability given Return Period Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability = 1/Return Period
p = 1/T_r
This formula uses 2 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Return Period: 150 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = 1/T_r --> 1/150

Evaluating ... ...

p = 0.00666666666666667

STEP 3: Convert Result to Output's Unit

0.00666666666666667 --> No Conversion Required

FINAL ANSWER

0.00666666666666667 ≈ 0.006667 <-- Probability

(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 » Probability given Return Period

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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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

Probability given Return Period Formula

Probability = 1/Return Period
p = 1/T_r

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 Probability given Return Period?

Probability given Return Period calculator uses Probability = 1/Return Period to calculate 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 calculate Probability given Return Period using this online calculator? To use this online calculator for Probability given Return Period, enter Return Period (T_r) and hit the calculate button. Here is how the Probability given Return Period calculation can be explained with given input values -> 0.006667 = 1/150.

FAQ

What is Probability given Return Period?

The Probability given Return Period formula is defined as the probability of occurrence of an event at least once throughout n successive years and is represented as p = 1/T_r or Probability = 1/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.

How to calculate Probability given Return Period?

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

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