Answer:
Option C. [tex]\frac{5}{8}[/tex] is the correct option.
Step-by-step explanation:
In the given question numbers marked on a spinner are given = 8
Out of these numbers marked on spinner number of vowels are = 3
Therefore the sample set n(S) is = 8
and the favorable events are n(E) = 3.
As per rules of the probability, the probability of spinning the spinner and landing on vowel will be = [tex]\frac{n(E)}{n(S)}=\frac{3}{8}[/tex]
Now probability of spinning the spinner and not landing on a vowel will be
P(E)' = [tex]1-\frac{3}{8}=\frac{5}{8}[/tex]
Option C. [tex]\frac{5}{8}[/tex] is the answer.