# Probability

Probability is a measure of the expectation that an event will occur or a statement is true. Probabilities are given a value between 0 (will not occur) and 1 (will occur). The higher the probability of an event, the more certain we are that the event will occur.

The concept has been given an axiomatic mathematical derivation in probability theory, which is used widely in such areas of study as mathematics, statistics, finance, gambling, science, artificial intelligence/machine learning and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.

### Other articles related to "probability":

Triangular Distribution
... In probability theory and statistics, the triangular distribution is a continuous probability distribution with lower limit a, upper limit b and mode c, where a < b and a ≤ c ≤ b ... The probability density function is given by whose cases avoid division by zero if c = a or c = b ...
Probability - Relation To Randomness
... In a deterministic universe, based on Newtonian concepts, there would be no probability if all conditions are known, (Laplace's demon) ... Probability theory is required to describe quantum phenomena ...
List Of Lithuanians - Science - Mathematics
... Aldona Aleškevičienė (Statulevičienė) – Probability theory and stochastic processes Raimundas Bentkus – Probability theory and stochastic processes Vidmantas Bentkus ... Paulauskas – Probability theory and stochastic processes Vytautas Statulevicius – Probability theory and stochastic processes Donatas Surgailis – Probability theory and stochastic processes ...
Marilyn Vos Savant - Errors in The Column
... Obviously, the probability of an employee being chosen in one quarter is 25 percent ... Marilyn's response was The probability remains 25 percent, despite the repeated testing ... of being chosen increases, but as long as the size of the pool remains the same, so does the probability ...
Confidence Interval - Statistical Theory - Definition
... Let X be a random sample from a probability distribution with statistical parameters θ, which is a quantity to be estimated, and φ, representing quantities that are not of immediate ... Here Prθ,φ indicates the probability distribution of X characterised by (θ, φ) ... specification is that the random interval (u(X), v(X)) covers the unknown value θ with a high probability no matter what the true value of θ actually is ...

### Famous quotes containing the word probability:

Liberty is a blessing so inestimable, that, wherever there appears any probability of recovering it, a nation may willingly run many hazards, and ought not even to repine at the greatest effusion of blood or dissipation of treasure.
David Hume (1711–1776)

Legends of prediction are common throughout the whole Household of Man. Gods speak, spirits speak, computers speak. Oracular ambiguity or statistical probability provides loopholes, and discrepancies are expunged by Faith.
Ursula K. Le Guin (b. 1929)

The source of Pyrrhonism comes from failing to distinguish between a demonstration, a proof and a probability. A demonstration supposes that the contradictory idea is impossible; a proof of fact is where all the reasons lead to belief, without there being any pretext for doubt; a probability is where the reasons for belief are stronger than those for doubting.
Andrew Michael Ramsay (1686–1743)