Marginal Probability

Marginal Probability is the probability of only one event in a joint probability distribution occurring.

Example

For the joint probability distribution function: $f(x,y)=cxy(x-1)$

The marginal probability function of $x$ is: $f_X(x)={\int }_0^{1}cxy(x-1)dy$ $f_X(x)=\frac{1}{2}.cx(x-1)$

The marginal probability function of $y$ is: $f_Y(y)={\int }_0^{1}cxy(x-1)dx$ $f_Y(y)=\frac{1}{6}.cy$