
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 two-digit number followed by a letter and then another two-digit number. Find the probability that the password consists of an even two-digit number (10 to 98), followed by a vowel, and ends with a prime two-digit number.

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