Success Probability Solution

STEP 0: Pre-Calculation Summary
Formula Used
Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability
Ps = (Pu*(1-Pum))/Pum
This formula uses 3 Variables
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Undetected Probability: 0.2 --> No Conversion Required
Undetected Error Probability: 0.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ps = (Pu*(1-Pum))/Pum --> (0.2*(1-0.4))/0.4
Evaluating ... ...
Ps = 0.3
STEP 3: Convert Result to Output's Unit
0.3 --> No Conversion Required
FINAL ANSWER
0.3 <-- Success Probability
(Calculation completed in 00.004 seconds)

Credits

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Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Data Analysis Calculators

Expected Number of Transmission
​ LaTeX ​ Go Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length)
Coding Noise
​ LaTeX ​ Go Coding Noise = (Input Waveform^2)/Signal to Noise Ratio
Header Bits
​ LaTeX ​ Go Header Bits = Number of Bits per Word-Information Bits
Capability of Error Correction Bits
​ LaTeX ​ Go Capability of Error Correction Bits = (Hamming Distance-1)/2

Success Probability Formula

​LaTeX ​Go
Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability
Ps = (Pu*(1-Pum))/Pum

What causes packet re-transmission?

There are four common reasons for packet retransmission: (1) the lack of an acknowledgment that data has been received within a reasonable time, (2) the sender discovering that transmission was unsuccessful.

How to Calculate Success Probability?

Success Probability calculator uses Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability to calculate 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 Ps symbol.

How to calculate Success Probability using this online calculator? To use this online calculator for Success Probability, enter Undetected Probability (Pu) & Undetected Error Probability (Pum) and hit the calculate button. Here is how the Success Probability calculation can be explained with given input values -> 0.3 = (0.2*(1-0.4))/0.4.

FAQ

What is Success Probability?
The Success Probability formula is defined as the probability of getting desired result or a favorable outcome and is represented as Ps = (Pu*(1-Pum))/Pum or Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error 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 & 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.
How to calculate Success Probability?
The Success Probability formula is defined as the probability of getting desired result or a favorable outcome is calculated using Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability. To calculate Success Probability, you need Undetected Probability (Pu) & Undetected Error Probability (Pum). With our tool, you need to enter the respective value for Undetected Probability & Undetected Error Probability 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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