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probability
(redirected from Random distribution)

   Also found in: Dictionary/thesaurus, Medical, Financial, Encyclopedia, Wikipedia 0.01 sec.
probability noun anticipation, appearance of truth, believability, chance, conceivability, credibility, expectation, fair chance, fair expectation, favorable chance, liability, liableness, likelihood, likeliness, odds, plausibility, possibility, presumption, promise, prospect, reasonable chance, reasonableness, tendency, veri similitudo, verisimilitude
See also: chance, expectation, likelihood, outlook, possibility, presumption, prospect, supposition

PROBABILITY. That which is likely to happen; that which is most consonant to reason; for example, there is a strong probability that a man of a good moral character, and who has heretofore been remarkable for truth, will, when examined as a witness under oath, tell the truth; and, on the contrary, that a man who has been guilty of perjury, will not, under the same circumstances, tell the truth; the former will, therefore, be entitled to credit, while the latter will not.



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Specific topics described include injectivity of the Dubins-Freedman construction of random distributions, almost sure convergence of weighted sums of independent random variables, aperiodic order via dynamical systems, laws of iterated logarithm for weighted sums of iid random variables, and homeomorphic Bernoulli trial measures and ergodic theory.
n OCCASIONAL 'clusters' - such as the one spotted by M T Hancock in recent Bonus Ball numbers - are exactly what you'd expect from a truly random distribution.
Similarly, an infinite universe alone is not sufficient to produce Boltzmann brains--there must be an infinite supply of appropriate matter in it (all neutrons wouldn't do, for example) with a sufficiently random distribution to cover all possible configurations.
 
 
 
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