The Conditional Distribution of Y Given X = X, Pr(Y $\mid X$

Multiple Choice

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