
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
There are 1200 red marbles and 800 black marbles in a box. Calculate the absolute difference between the probability that two marbles drawn at random are the same color and the probability that they are different colors.

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