
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 7 balls are drawn simultaneously at random, what is the probability that the sum of the numbers on the balls drawn is odd?
A) $\frac{90}{396}$
B) $\frac{396}{792}$
C) $\frac{200}{396}$
D) $\frac{462}{792}$

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