
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
A number $a$ is randomly drawn from the set $\{0, 1, 2, 3, 4, 5\}$, then another number $b$ is randomly drawn from the remaining numbers. Let $\overline{ab}$ be the two-digit number formed by $a$ and $b$. Find the probability $P$ that $\overline{ab}$ is even.
A) $\frac{11}{30}$
B) $\frac{13}{30}$
C) $\frac{11}{25}$
D) $\frac{13}{25}$

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