To determine the probability of picking a consonant from the sample space \( S = {a, b, c, d, e, f} \), we first identify which characters in the sample space are consonants.
The vowels in the English alphabet are a, e, i, o, and u. In the sample space \( S \), the vowels are:
- a
- e
The consonants in the sample space \( S \) are:
- b
- c
- d
- f
So, there are 4 consonants (b, c, d, f) and 2 vowels (a, e).
Now, we calculate the probability of picking a consonant:
\[ \text{Probability of picking a consonant} = \frac{\text{Number of consonants}}{\text{Total number of outcomes}} = \frac{4}{6} \]
We can simplify \( \frac{4}{6} \):
\[ \frac{4}{6} = \frac{2}{3} \]
Thus, the probability of picking a consonant is \( \frac{2}{3} \).
The correct answer is:
Start Fraction 2 over 3 End Fraction