ANSWER
[tex]\frac{7}{8}[/tex]EXPLANATION
Given that total slices are 8
Number of red and blue slices;
[tex]\begin{gathered} red=4 \\ blue=3 \\ n(B&R)=4+3=7 \end{gathered}[/tex]Hence, the probability that the dial stops on a red or blue slice is;
[tex]\begin{gathered} P(R&B)=\frac{n(R&B)}{Total\text{ number}} \\ =\frac{7}{8} \end{gathered}[/tex]