
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 $\{2,3,4,5\}$, and a number $b$ from the set $\{1,3,5\}$. Determine the probability that the vector $\mathbf{m}=(a,b)$ is perpendicular to the vector $\mathbf{n}=(1,-1)$.

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