
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
Given the random variable X defined by X = 
0 (if the outcome of the first throw is different from the second throw) 
1 (if the outcome of the first throw is the same as the second throw)
calculate the variance of the random variable X, denoted as D(X).

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