1. The problem is to create a truth table for the logical expression $p \lor q \land r$. 2. According to the order of operations in logic, the AND operation ($\land$) is evaluated before the OR operation ($\lor$). 3. So, the expression $p \lor q \land r$ is equivalent to $p \lor (q \land r)$. 4. We will list all possible truth values for $p$, $q$, and $r$ (True or False). 5. Then, calculate $q \land r$ for each combination. 6. Finally, calculate $p \lor (q \land r)$ for each combination. | $p$ | $q$ | $r$ | $q \land r$ | $p \lor (q \land r)$ | |-----|-----|-----|--------------|-----------------------| | T | T | T | T | T | | T | T | F | F | T | | T | F | T | F | T | | T | F | F | F | T | | F | T | T | T | T | | F | T | F | F | F | | F | F | T | F | F | | F | F | F | F | F | This table shows all possible truth values for $p$, $q$, and $r$, and the resulting value of $p \lor q \land r$.