The sample space of the experiment is \( S = {a, b, c, d, e, f} \).
The vowels in this sample space are \( {a, e} \), and the consonants are \( {b, c, d, f} \).
There are 2 vowels (a, e) and 4 consonants (b, c, d, f) in the sample space.
To find the probability of picking a consonant, we use the formula:
\[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} \]
Simplifying \( \frac{4}{6} \):
\[ \frac{4}{6} = \frac{2}{3} \]
Therefore, the probability of picking a consonant is \( \frac{2}{3} \).
The correct answer is:
2/3