The sample space is \( S = {a, b, c, d, e, f} \).
In this set, we identify the vowels and consonants:
- Vowels: \( a, e \)
- Consonants: \( b, c, d, f \)
There are 6 total elements in the sample space.
The number of consonants is 4: \( b, c, d, f \).
Now, we calculate the probability of picking a consonant:
\[ P(\text{consonant}) = \frac{\text{number of consonants}}{\text{total number of elements}} = \frac{4}{6} \]
To simplify \( \frac{4}{6} \):
\[ \frac{4}{6} = \frac{2}{3} \]
Thus, the probability of picking a consonant is \( \frac{2}{3} \).
The correct response is \( \frac{2}{3} \).