
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 consists of 13 ranks across 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), with exactly one card per rank and suit combination. Among these, $\spadesuit$ and $\clubsuit$ are black, and $\heartsuit$ and $\diamondsuit$ are red. Assuming the deck is shuffled randomly, what is the probability that the top three cards are of the same color and of the same suit?

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