Conditional PMF: p_{X|Y}(x|y) = p_{X,Y}(x,y) / p_Y(y). X and Y are independent if p_{X,Y}(x,y) = p_X(x)·p_Y(y) for all x,y. Conditioning on one variable changes the distribution of the other.
Multiple Discrete Random Variables
View .mdConditional PMF: p_{X|Y}(x|y) = p_{X,Y}(x,y) / p_Y(y). X and Y are independent if p_{X,Y}(x,y) = p_X(x)·p_Y(y) for all x,y. Conditioning on one variable changes the distribution of the other.