Answer:
[tex]\begin{array}{cccc}p&q&\sim p&q\wedge \sim p\\T&T&F&F\\T&F&F&F\\F&T&T&T\\F&F&T&F\end{array}[/tex]
Step-by-step explanation:
Each of the statemnts p and q can be true (T) or false (F). So, there are 4 different possibilites for these two statements
[tex]\begin{array}{cc}p&q\\T&T\\T&F\\F&T\\F&F\end{array}[/tex]
Now, fill in the logic table for the statement [tex]q\wedge \sim p[/tex]
[tex]\begin{array}{cccc}p&q&\sim p&q\wedge \sim p\\T&T&F&F\\T&F&F&F\\F&T&T&T\\F&F&T&F\end{array}[/tex]