To determine the probability of picking a consonant from the sample space \( S = { a, b, c, d, e, f } \), we first identify the consonants in the set:
- Consonants: \( b, c, d, f \) (4 consonants)
- Vowels: \( a, e \) (2 vowels)
The total number of elements in the sample space \( S \) is 6.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the favorable outcomes are the consonants.
Thus, the probability \( P \) of picking a consonant is:
\[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total number of letters}} = \frac{4}{6} = \frac{2}{3} \]
Therefore, the simplified fraction representing the probability of picking a consonant is \( \frac{2}{3} \).
The correct answer is:
C) \( \frac{2}{3} \)