The letter tiles are W, I, S, D, O, M.
To determine the probability that Abby picks a vowel, we first need to identify the vowels in the set of letters. The vowels from the letters are I and O.
Now let's count the total number of letter tiles and the number of vowels:
- Total letters: W, I, S, D, O, M (which is 6 tiles)
- Vowel letters: I, O (which is 2 vowels)
The probability \( P \) that she picks a vowel can be calculated using the formula:
\[ P(\text{vowel}) = \frac{\text{Number of vowels}}{\text{Total number of letters}} = \frac{2}{6} \]
Now we simplify the fraction:
\[ \frac{2}{6} = \frac{1}{3} \]
Thus, the probability that the letter she picks is a vowel is \( \frac{1}{3} \).