# Odds to Probability Calculator

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

#### Odds to Probability Calculator

More about the
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Odds to Probability Calculator
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so that you can better understand the elements used in this calculator. It is common for people to confuse odds and probability, and often times, they incorrectly used, especially when talking about 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 probability of an event, \(p\), given the odds is shown below:

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

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