To find the probability of picking a consonant from the sample space \( S = {a, b, c, d, e, f} \), we first identify the consonants and vowels in this set.
The vowels are:
- a
- e
The consonants are:
- b
- c
- d
- f
Counting the consonants, we have 4 consonants (b, c, d, f) out of a total of 6 letters in the sample space.
The probability \( P \) of picking a consonant is calculated as follows:
\[ P(\text{Consonant}) = \frac{\text{Number of Consonants}}{\text{Total Number of Letters}} = \frac{4}{6} \]
Simplifying \( \frac{4}{6} \):
\[ P(\text{Consonant}) = \frac{2}{3} \]
Thus, the probability of picking a consonant is \( \frac{2}{3} \).
The correct answer is:
23 Start Fraction 2 over 3 End Fraction