
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 the expanded country of Mathlandia, all automobile license plates have five symbols. The first two must be vowels (A, E, I, O, U), the next two must be different non-vowels among the 21 non-vowels in the alphabet, and the fifth must be a digit (0 through 9). Determine the probability that the plate will read "AIE19"

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