Step 1: We have to determine the probability of the event " a vowel " in the second draw, when a vowel was selected in the first draw.
Step 2: The probability will be computed with the formular:

Step 3: As determine in the second draw the sample space is 51 letters , 26 consonants and 25 vowels
Step 4: Out of 51 outcome, the favourable outcome are those which contain a vowels : 9 outcomes
Step 5: The probability of the event

Therefore the probability she selects a vowel on her second draw = 3/17