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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All objects have a wave function which represents the probability of locating that object at a particular point in space.
One night, when I was little, I heard a report on the probability of nuclear attack.
The four conditions occurred in a random order and with equal probability within each block of trials.
When he finally gets to see the contract, he will, in all probability, laugh as much as I did.
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.
Life expectancy is a term used by actuaries, people who calculate statistics and probability for insurance use.

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