Provide an Appropriate Response $f$ Represents $P \left( P _ { 2 } \& S _ { 2 } \right)$

True/False

Provide an appropriate response.
-A contingency table provides a joint frequency distribution for the popular votes cast in a presidential election by sex and political party. A joint probability distribution corresponding to the contingency table is obtained and can be represented as follows.

The letters a through lare used to represent the probabilities in the different cells so, for example, the letter $f$ represents $P \left( P _ { 2 } \& S _ { 2 } \right)$ and the letter $h$ represents $P \left( S _ { 2 } \right)$ .
if a person who voted in this election is selected at random, the events $\left( \mathrm { P } _ { 1 } \right.$ \& and $\left( P _ { 2 } \& S _ { 1 } \right)$ are mutually exclusive?