
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
Suppose a specially designed deck of cards contains 60 cards, distributed across 15 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Joker, Knight) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$). There are 30 red cards ($\heartsuit$, $\diamondsuit$) and 30 black cards ($\spadesuit$, $\clubsuit$). If the deck is shuffled thoroughly, what is the probability that the top card is black and the second card is red?

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