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Probability of Success given Odds against Calculator

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Probability Distribution

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Odds Probability Important Formulas of Probability Probability of Three Events Probability of Two Events

✖Odds Against is the ratio of the number of unfavorable outcomes (losing) to the number of favorable outcomes (winning).ⓘ Odds Against [O_A]

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✖Probability of Success in Binomial Distribution is the likelihood of winning an event.ⓘ Probability of Success given Odds against [p_BD]

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Probability of Success given Odds against Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability of Success in Binomial Distribution = 1/(Odds Against+1)
p_BD = 1/(O_A+1)
This formula uses 2 Variables

Variables Used

Probability of Success in Binomial Distribution - Probability of Success in Binomial Distribution is the likelihood of winning an event.
Odds Against - Odds Against is the ratio of the number of unfavorable outcomes (losing) to the number of favorable outcomes (winning).

STEP 1: Convert Input(s) to Base Unit

Odds Against: 0.67 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_BD = 1/(O_A+1) --> 1/(0.67+1)

Evaluating ... ...

p_BD = 0.598802395209581

STEP 3: Convert Result to Output's Unit

0.598802395209581 --> No Conversion Required

FINAL ANSWER

0.598802395209581 ≈ 0.598802 <-- Probability of Success in Binomial Distribution

(Calculation completed in 00.020 seconds)

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< Odds Probability Calculators

Odds in Favor given Probability of Success

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

Probability of Success given Odds in Favor

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

Odds in Favor given Probability of Failure

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

Probability of Failure given Odds in Favor

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

Probability of Success given Odds against Formula

LaTeX Go

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

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 Success given Odds against?

Probability of Success given Odds against calculator uses Probability of Success in Binomial Distribution = 1/(Odds Against+1) to calculate the Probability of Success in Binomial Distribution, The Probability of Success given Odds against formula is defined as the likelihood that the outcome occurs, calculated using odds against. Probability of Success in Binomial Distribution is denoted by p_BD symbol.

How to calculate Probability of Success given Odds against using this online calculator? To use this online calculator for Probability of Success given Odds against, enter Odds Against (O_A) and hit the calculate button. Here is how the Probability of Success given Odds against calculation can be explained with given input values -> 0.598802 = 1/(0.67+1).

FAQ

What is Probability of Success given Odds against?

The Probability of Success given Odds against formula is defined as the likelihood that the outcome occurs, calculated using odds against and is represented as p_BD = 1/(O_A+1) or Probability of Success in Binomial Distribution = 1/(Odds Against+1). Odds Against is the ratio of the number of unfavorable outcomes (losing) to the number of favorable outcomes (winning).

How to calculate Probability of Success given Odds against?

The Probability of Success given Odds against formula is defined as the likelihood that the outcome occurs, calculated using odds against is calculated using Probability of Success in Binomial Distribution = 1/(Odds Against+1). To calculate Probability of Success given Odds against, you need Odds Against (O_A). With our tool, you need to enter the respective value for Odds Against 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 Success in Binomial Distribution?

In this formula, Probability of Success in Binomial Distribution uses Odds Against. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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