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BUILT-IN MATHEMATICA SYMBOL

Conditioned

represents expr conditioned by the predicate cond.

The expression expr can correspond either to a predicate with logical values or to an object with numerical values.

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:

Compute the probability of a conditional event:

Out[1]=

Out[2]=

Use NProbability to get the numerical value directly:

Out[3]=

Compute a conditional expectation:

Out[1]=

Out[2]=

Use NExpectation to get the numerical value directly:

Out[3]=

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:

Conditioned has lower precedence than And:

Use parentheses to obtain the intended result: