
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
In a box, there are 1002 red marbles and 999 black marbles. Find the absolute difference between the probability that two marbles drawn at random from the box are the same color and the probability that they are different colors.

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