
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
Randomly select a number a from the set {1, 2, 4} and a number b from the set {2, 4, 5}. Find the probability that the vector $\overrightarrow{m}$ = ($a$, $b$) is perpendicular to the vector $\overrightarrow{n}$ = (2, -1).

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