The sample space is \( S = { a, b, c, d, e, f } \).
To determine the probability of picking a consonant, we first need to identify the consonants in the sample space. The vowels are \( a \) and \( e \), and the consonants are \( b, c, d, \) and \( f \).
The consonants are:
- \( b \)
- \( c \)
- \( d \)
- \( f \)
This gives us a total of 4 consonants.
There are a total of 6 elements in the sample space (the total possible outcomes).
The probability \( P \) of picking a consonant can be calculated as follows:
\[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} \]
Now, we simplify \( \frac{4}{6} \):
\[ \frac{4}{6} = \frac{2}{3} \]
Thus, the probability of picking a consonant is \( \frac{2}{3} \).
The correct answer is: \[ \boxed{\frac{2}{3}} \]