
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. Hooper's 25-student English class, no two students have the same initials, and each student's first name and last name begin with the same letter, just like Mrs Vale's class. However, the letter "Y" is not considered in this student list, either as an initial for a first name or a last name. What is the probability of randomly picking a student whose initials are consonants? Assume all other letters besides A, E, I, O, U are valid and consider only English alphabets from AA to ZZ minus YY.

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