The sample space \( S = { a, b, c, d, e, f } \) consists of 6 letters. To determine the probability of picking a consonant from this set, we first identify the consonants and vowels.
The vowels in this set are:
- a
- e
The consonants are:
- b
- c
- d
- f
Thus, there are 4 consonants (b, c, d, f) in the sample space.
To calculate the probability of picking a consonant, we use the formula:
\[ P(\text{consonant}) = \frac{\text{Number of consonants}}{\text{Total outcomes}} \]
Substituting the numbers, we get:
\[ P(\text{consonant}) = \frac{4}{6} \]
Now we simplify the fraction:
\[ P(\text{consonant}) = \frac{2}{3} \]
Converting this into the fraction options provided (32, 13, 23, 26):
The correct answer is \( \frac{2}{3} \), which is not listed as an answer choice. However, it seems you were looking for a simple fractional representation, which you are correct in presenting as \( \frac{2}{3} \).
If you need more context or clarity on how this fits into the options you've provided, please let me know!