
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
Bob's password consists of a non-negative single-digit number followed by a vowel (A, E, I, O, U), and another non-negative single-digit number (which could be the same as the first one). What is the probability that Bob's password consists of an even single-digit number followed by a vowel and a non-zero single-digit number?

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