
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 box contains $12$ balls, numbered from $1$ to $12$. If $5$ balls are drawn simultaneously at random, what is the probability that the sum of the numbers on the balls drawn is even?
A) $\frac{11}{24}$
B) $\frac{1}{2}$
C) $\frac{13}{24}$
D) $\frac{1}{3}$

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