
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 standard deck of 52 cards includes 13 ranks for each of the 4 suits (spades, hearts, diamonds, clubs), with each suit distinctly colored (spades and clubs are black; hearts and diamonds are red). Each card is uniquely identifiable by its suit and rank. The deck is shuffled randomly. What is the probability that the top three cards are all of the same color?

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