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What is a probability?

What is a probability? Here are some definitions.

Noun
  1. the state of being probable; likelihood
  2. an event that is likely to occur
  3. the relative likelihood of an event happening
  4. (mathematics) a number, between 0 and 1, expressing the precise likelihood of an event happening
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Examples
Some countries recognise abortion when pregnancy results from rape or incest, or when there is a high probability of foetal impairment.
The error terms from the regression equations are modeled as random variables with a probability distribution.
These maps graphically illustrate the change in earthquake probability during aftershock and possible foreshock sequences.
He also took up new topics, writing several papers on probability theory, in particular on Markov chains.
The four conditions occurred in a random order and with equal probability within each block of trials.
A gambler usually wagers more after taking a loss, in the misguided belief that a run of bad luck increases the probability of a win.

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