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Success Probability Formula

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Success probability refers to the likelihood of successfully establishing and maintaining a reliable communication link between a transmitter and receiver in a wireless network. Check FAQs

P s = \frac{P u \cdot (1 - P um)}{P um}

P_s - Success Probability?P_u - Undetected Probability?P_um - Undetected Error Probability?

Success Probability Example

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Here is how the Success Probability equation looks like with Values.

Here is how the Success Probability equation looks like with Units.

Here is how the Success Probability equation looks like.

0.3 = \frac{0.2 \cdot (1 - 0.4)}{0.4}

0.3 = \frac{0.2 \cdot (1 - 0.4)}{0.4}

0.3 = \frac{0.2 \cdot (1 - 0.4)}{0.4}

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Success Probability Solution

Follow our step by step solution on how to calculate Success Probability?

FIRST Step Consider the formula

P s = \frac{P u \cdot (1 - P um)}{P um}

Next Step Substitute values of Variables

∴

P s = \frac{0.2 \cdot (1 - 0.4)}{0.4}

Next Step Prepare to Evaluate

∴

P s = \frac{0.2 \cdot (1 - 0.4)}{0.4}

LAST Step Evaluate

∴

P s = 0.3

Success Probability Formula Elements

Variables

Success Probability

Success probability refers to the likelihood of successfully establishing and maintaining a reliable communication link between a transmitter and receiver in a wireless network.

Symbol: P_s

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Success Probability

Undetected Probability

Undetected Probability, in the context of wireless communication, refers to the likelihood that an error or transmission failure goes unnoticed or undetected by the receiving device or system.

Symbol: P_u

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Undetected Probability

Undetected Error Probability

Undetected error probability in wireless communication refers to the likelihood of a transmitted message containing errors that go undetected by the receiver's error detection mechanism.

Symbol: P_um

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Undetected Error Probability

Other formulas in Data Analysis category

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t = \frac{d - 1}{2}

Go Coding Noise

CN = \frac{{I W}^{2}}{SNR}

Go Expected Number of Transmission

E n = \frac{1}{{(1 - P ew)}^{m}}

Go Header Bits

H = B wd - L

How to Evaluate Success Probability?

Success Probability evaluator uses Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability to evaluate the Success Probability, The Success Probability formula is defined as the probability of getting desired result or a favorable outcome. Success Probability is denoted by P_s symbol.

How to evaluate Success Probability using this online evaluator? To use this online evaluator for Success Probability, enter Undetected Probability (P_u) & Undetected Error Probability (P_um) and hit the calculate button.

FAQs on Success Probability

What is the formula to find Success Probability?

The formula of Success Probability is expressed as Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability. Here is an example- 0.3 = (0.2*(1-0.4))/0.4.

How to calculate Success Probability?

With Undetected Probability (P_u) & Undetected Error Probability (P_um) we can find Success Probability using the formula - Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability.

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Success Probability Formula

Success Probability Example

Success Probability Solution

Success Probability Formula Elements

Other formulas in Data Analysis category

How to Evaluate Success Probability?

FAQs on Success Probability

Variable Name