Conditioned [expr,cond]
or exprcond represents expr conditioned by the predicate cond.
Conditioned
Conditioned [expr,cond]
or exprcond represents expr conditioned by the predicate cond.
Details
- exprcond can be entered as expr cond cond or expr \[Conditioned] cond.
- The expression expr can correspond either to a predicate with logical values or to an object with numerical values.
- Probability [predcond,…] gives the conditional probability of pred given cond.
- Expectation [exprcond,…] gives the conditional expectation of expr given cond.
- Conditioned can be used in functions such as Probability , NProbability , Expectation , and NExpectation .
Examples
open all close allBasic Examples (2)
Compute the probability of a conditional event:
Use NProbability to get the numerical value directly:
Compute a conditional expectation:
Use NExpectation to get the numerical value directly:
Scope (3)
Compute a conditional expectation for a discrete distribution:
Continuous distribution:
Derived distribution:
Data distribution:
Multivariate distribution:
Use implicit time to compute a conditional probabiity for a random process:
Obtain the same result using the corresponding slice distribution:
Conditional probability for a multivariate slice of a random process using implicit times:
Obtain the same result using the corresponding multivariate slice distribution:
Properties & Relations (4)
A conditional probability is a ratio of two probabilities:
The conditional probability is 0 if the events are mutually exclusive:
Compute the probability of an event in a TruncatedDistribution :
Obtain the same result using a conditional probability calculation:
For independent variables, a conditional probability is the same as unconditional probability:
See Also
Probability NProbability Expectation NExpectation
Characters: \[Conditioned]
Function Repository: ConditionedMultinormalDistribution
Related Guides
History
Text
Wolfram Research (2010), Conditioned, Wolfram Language function, https://reference.wolfram.com/language/ref/Conditioned.html.
CMS
Wolfram Language. 2010. "Conditioned." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Conditioned.html.
APA
Wolfram Language. (2010). Conditioned. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Conditioned.html
BibTeX
@misc{reference.wolfram_2025_conditioned, author="Wolfram Research", title="{Conditioned}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/Conditioned.html}", note=[Accessed: 04-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_conditioned, organization={Wolfram Research}, title={Conditioned}, year={2010}, url={https://reference.wolfram.com/language/ref/Conditioned.html}, note=[Accessed: 04-January-2026]}