# Probability to Odds Calculator

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Instructions:
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You can use this Probability to Odds Calculator to compute the odds for the occurrence of an event, given the probability for its occurrence \((p)\), by using the form below:

#### Probability to Odds Calculator

More about the
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Probability to Odds Calculator
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so that you can better understand the elements used in this calculator. It is common for people to have a confusion between the concepts of odds and probability, and often times, they incorrectly use them, most typically interchanging probability by odds.

The odds for the occurrence of an event are simply the probability of occurrence of an event, divided by the probability that the event does not occur. Or for example, if there are 8 equally likely individual outcomes, and 6 of them favor of an event, and 2 are against the event, then the odds for the occurrence of the event are "6 to 2", or "6/2" or simply 3. So, the odds can be any positive number, it does not have to be a number between 0 and 1.

The expression that is used to compute the odds for the occurrence of an event, \(p\), given its probability is shown below:

\[ Odds = \displaystyle \frac{p}{1 - p}\]The conversion from probability to odds is usually referred also as a risk to odds conversion.

If, on the other hand, instead of knowing the probability you know the odds, you can use this odds to probability calculator .