
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 15 balls, numbered from 1 through 15. If 5 balls are drawn randomly at the same time, what is the probability that the sum of the numbers on the balls is even?
A) $\frac{1480}{3003}$
B) $\frac{1491}{3003}$
C) $\frac{1500}{3003}$
D) $\frac{1510}{3003}$

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