The sample space is \( S = {a, b, c, d, e, f} \). Among these, the vowels are \( {a, e} \) and the consonants are \( {b, c, d, f} \).
Counting the consonants, we find there are 4 consonants: \( b, c, d, \) and \( f \).
The total number of outcomes in the sample space is 6.
The probability of picking a consonant is calculated as: \[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} = \frac{2}{3} \]
Therefore, the probability of picking a consonant is \[ \frac{2}{3}. \]
Among the responses given, the closest answer is:
\(\frac{2}{3}\)