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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
These maps graphically illustrate the change in earthquake probability during aftershock and possible foreshock sequences.
Hardy highlights the crucial difference between classical probability theory and quantum theory.
He also took up new topics, writing several papers on probability theory, in particular on Markov chains.
A single world language would in all probability do very little to advance peace.
When he finally gets to see the contract, he will, in all probability, laugh as much as I did.
Life expectancy is a term used by actuaries, people who calculate statistics and probability for insurance use.

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