
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 customized deck of 78 cards includes 6 suits: $\spadesuit$, $\heartsuit$, $\diamondsuit$, $\clubsuit$, $\star$ (red), and $\moon$ (black). Each suit contains the 13 ranks from Ace to King, totalling 13 cards per suit. There are three black suits ($\spadesuit$, $\clubsuit$, and $\moon$) and three red suits ($\heartsuit$, $\diamondsuit$, and $\star$). The deck is shuffled randomly. Calculate the probability that the top card is red and the second card is black.

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