The Conditional Distribution of Y Given $X = x , \operatorname { Pr } ( Y = y \mid X = x )$

The conditional distribution of Y given $X = x , \operatorname { Pr } ( Y = y \mid X = x )$
is

A) $\frac { \operatorname { Pr } ( Y = y ) } { \operatorname { Pr } ( X = x ) }$
B) $\sum _ { i = 1 } ^ { l } \operatorname { Pr } \left( X = x _ { i } , Y = y \right)$
C) $\frac { \operatorname { Pr } ( X = x , Y = y ) } { \operatorname { Pr } ( Y = y ) }$
D) $\frac { \operatorname { Pr } ( X = x , Y = y ) } { \operatorname { Pr } ( X = x ) }$

Correct Answer:

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