
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In Mr. Petrov's 30-student history class, each student’s initials are uniquely represented by the same letter for both the first and last name. Besides the typical vowels A, E, I, O, U, the letter "X" is also considered a vowel in this peculiar setting. What is the probability of randomly selecting a student whose initials are vowels, given this modification?

Present the answer in LaTex format: \boxed{Your answer}
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