Probability of Failure Calculator

✖Number of Losses is the total number of unfavorable outcomes of an event.ⓘ Number of Losses [n_L]			+10% -10%
✖Number of Wins is the total number of favorable outcomes of an event.ⓘ Number of Wins [n_W]			+10% -10%

✖Probability of Failure is the likelihood of losing an event.ⓘ Probability of Failure [q]

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Formula

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Probability of Failure

Formula

`"q" = "n"_{"L"}/("n"_{"W"}+"n"_{"L"})`

Example

`"0.4"="8"/("12"+"8")`

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Probability of Failure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability of Failure = Number of Losses/(Number of Wins+Number of Losses)
q = n_L/(n_W+n_L)
This formula uses 3 Variables

Variables Used

Probability of Failure - Probability of Failure is the likelihood of losing an event.
Number of Losses - Number of Losses is the total number of unfavorable outcomes of an event.
Number of Wins - Number of Wins is the total number of favorable outcomes of an event.

STEP 1: Convert Input(s) to Base Unit

Number of Losses: 8 --> No Conversion Required
Number of Wins: 12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = n_L/(n_W+n_L) --> 8/(12+8)

Evaluating ... ...

q = 0.4

STEP 3: Convert Result to Output's Unit

0.4 --> No Conversion Required

FINAL ANSWER

0.4 <-- Probability of Failure

(Calculation completed in 00.004 seconds)

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Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Calculator and 300+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< 18 Odds Probability Calculators

Probability of Success

Go Probability of Success in Binomial Distribution = Number of Wins/(Number of Wins+Number of Losses)

Odds in Favor given Probability of Success

Go Odds in Favor = Probability of Success in Binomial Distribution/(1-Probability of Success in Binomial Distribution)

Odds against given Probability of Success

Go Odds Against = (1-Probability of Success in Binomial Distribution)/Probability of Success in Binomial Distribution

Probability of Failure

Go Probability of Failure = Number of Losses/(Number of Wins+Number of Losses)

Odds in Favor given Probability of Success and Failure

Go Odds in Favor = Probability of Success in Binomial Distribution/Probability of Failure

Odds against given Probability of Success and Failure

Go Odds Against = Probability of Failure/Probability of Success in Binomial Distribution

Probability of Success given Odds in Favor

Go Probability of Success in Binomial Distribution = Odds in Favor/(Odds in Favor+1)

Odds in Favor given Probability of Failure

Go Odds in Favor = (1-Probability of Failure)/Probability of Failure

Odds against given Probability of Failure

Go Odds Against = Probability of Failure/(1-Probability of Failure)

Probability of Failure given Odds against

Go Probability of Failure = Odds Against/(Odds Against+1)

Odds in Favor

Go Odds in Favor = Number of Wins/Number of Losses

Odds against

Go Odds Against = Number of Losses/Number of Wins

Probability of Success given Probability of Failure

Go Probability of Success in Binomial Distribution = 1-Probability of Failure

Probability of Failure given Probability of Success

Go Probability of Failure = 1-Probability of Success in Binomial Distribution

Probability of Success given Odds against

Go Probability of Success in Binomial Distribution = 1/(Odds Against+1)

Probability of Failure given Odds in Favor

Go Probability of Failure = 1/(Odds in Favor+1)

Odds in Favor given Odds against

Go Odds in Favor = 1/Odds Against

Odds against given Odds in Favor

Go Odds Against = 1/Odds in Favor

< 6 Important Formulas of Probability Calculators

Probability of Success

Go Probability of Success in Binomial Distribution = Number of Wins/(Number of Wins+Number of Losses)

Probability of Failure

Go Probability of Failure = Number of Losses/(Number of Wins+Number of Losses)

Probability of Event

Go Probability of Event = Number of Favorable Outcomes/Total Number of Outcomes

Empirical Probability

Go Empirical Probability = Number of Times Event Occurs/Total Number of Trials

Odds in Favor

Go Odds in Favor = Number of Wins/Number of Losses

Odds against

Go Odds Against = Number of Losses/Number of Wins

Probability of Failure Formula

Probability of Failure = Number of Losses/(Number of Wins+Number of Losses)
q = n_L/(n_W+n_L)

What are Odds in Probability?

In probability theory, odds provide a measure of the likelihood of a particular outcome. They are calculated as the ratio of the number of events that produce that outcome to the number that do not. Odds are commonly used in gambling and statistics.

Odds also have a simple relation with probability: the odds of an outcome are the ratio of the probability that the outcome occurs to the probability that the outcome does not occur.

Odds can be expressed as a ratio of two numbers or as a number, by dividing the terms in the ratio.

Odds range from 0 to infinity, while probabilities range from 0 to 1, and hence are often represented as a percentage between 0% and 100%.

How to Calculate Probability of Failure?

Probability of Failure calculator uses Probability of Failure = Number of Losses/(Number of Wins+Number of Losses) to calculate the Probability of Failure, The Probability of Failure formula is defined as the likelihood that the outcome does not occur. Probability of Failure is denoted by q symbol.

How to calculate Probability of Failure using this online calculator? To use this online calculator for Probability of Failure, enter Number of Losses (n_L) & Number of Wins (n_W) and hit the calculate button. Here is how the Probability of Failure calculation can be explained with given input values -> 0.4 = 8/(12+8).

FAQ

What is Probability of Failure?

The Probability of Failure formula is defined as the likelihood that the outcome does not occur and is represented as q = n_L/(n_W+n_L) or Probability of Failure = Number of Losses/(Number of Wins+Number of Losses). Number of Losses is the total number of unfavorable outcomes of an event & Number of Wins is the total number of favorable outcomes of an event.

How to calculate Probability of Failure?

The Probability of Failure formula is defined as the likelihood that the outcome does not occur is calculated using Probability of Failure = Number of Losses/(Number of Wins+Number of Losses). To calculate Probability of Failure, you need Number of Losses (n_L) & Number of Wins (n_W). With our tool, you need to enter the respective value for Number of Losses & Number of Wins and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Probability of Failure?

In this formula, Probability of Failure uses Number of Losses & Number of Wins. We can use 3 other way(s) to calculate the same, which is/are as follows -

Probability of Failure = 1/(Odds in Favor+1)
Probability of Failure = 1-Probability of Success in Binomial Distribution
Probability of Failure = Odds Against/(Odds Against+1)

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