
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 customized deck of 60 cards has 15 ranks (Ace, 2 to 10, Jack, Queen, King, Ace+1, Ace+2) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), each containing one card of each rank. There are two black suits ($\spadesuit$, $\clubsuit$) and two red suits ($\heartsuit$, $\diamondsuit$). The deck is shuffled randomly. Determine the probability that the top card is a red suit and the second card is a black suit.

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