Answer:
The spinner is not fair
Step-by-step explanation:
Given
[tex]Sections = 8[/tex]
[tex]Blue = 3[/tex]
[tex]Purple = 5[/tex]
Solving(a): Is it fair?
The spinner is not fair because the probability of an outcome of Blue does not equal the probability of obtaining Purple.
i.e.
[tex]P(Blue) = \frac{3}{8}[/tex]
[tex]P(Purple) = \frac{5}{8}[/tex]
[tex]\frac{3}{8} \ne \frac{5}{8}[/tex]
Solving (b):
To make it fair, the blue sections and the purple sections must be made equal (4 each)