To determine the probability of picking a consonant from the sample space \( S = { a, b, c, d, e, f } \), we first identify the consonants and the total number of outcomes.
The consonants in this set are \( b, c, d, f \). Thus, there are 4 consonants: \( b, c, d, f \).
The total number of elements in the sample space \( S \) is 6.
The probability of picking a consonant is calculated as follows:
\[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} \]
We can simplify this fraction:
\[ \frac{4}{6} = \frac{2}{3} \]
Thus, the probability of picking a consonant is
\[ \frac{2}{3} \]
The correct response is:
\(\frac{2}{3}\)