To determine the probability of picking a consonant from the sample space \( S = { a, b, c, d, e, f } \), we first need to identify the consonants in the set.
The letters in \( S \) can be categorized as:
- Vowels: \( a, e \)
- Consonants: \( b, c, d, f \)
There are 4 consonants (b, c, d, f) and a total of 6 letters (a, b, c, d, e, f).
The probability \( P \) of picking a consonant is given by the formula:
\[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} \]
Simplifying \( \frac{4}{6} \):
\[ \frac{4}{6} = \frac{2}{3} \]
Therefore, the probability of picking a consonant is:
\[ \frac{2}{3} \]
The correct response is:
Start Fraction 2 over 3 End Fraction