aleatory

[ey-lee-uh-tawr-ee, -tohr-ee, al-ee-]
adjective
1.
Law. depending on a contingent event: an aleatory contract.
2.
of or pertaining to accidental causes; of luck or chance; unpredictable: an aleatory element.
3.
Music. employing the element of chance in the choice of tones, rests, durations, rhythms, dynamics, etc.
Also, aleatoric [ey-lee-uh-tawr-ik, -tor-, al-ee-] .


Origin:
1685–95; < Latin āleātōrius, equivalent to āleātōr- (stem of āleātor gambler (āle(a) game of chance + -ātor -ator) + -ius adj. suffix; see -tory1

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World English Dictionary
aleatory or aleatoric (ˈeɪlɪətərɪ, -trɪ, ˌeɪlɪəˈtɒrɪk)
 
adj
1.  dependent on chance
2.  (esp of a musical composition) involving elements chosen at random by the performer
 
[C17: from Latin āleātōrius, from āleātor gambler, from ālea game of chance, dice, of uncertain origin]
 
aleatoric or aleatoric
 
adj
 
[C17: from Latin āleātōrius, from āleātor gambler, from ālea game of chance, dice, of uncertain origin]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

aleatory
"of uncertain outcome," lit. "depending on the throw of a die," 1690s, from L. aleatorius, from aleator "a dice player," from alea "a die, the dice."
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
The first type of uncertainty is aleatory uncertainty.
The condition made is aleatory, but that does not affect its validity or
  enforceability.
They have recently been termed aleatory and epistemic uncertainty.
The aleatory and epistemic uncertainty can be combined into a composite
  variability.
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