
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 modified deck of 64 cards has 16 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Emperor, Empress, Prince) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$). Additionally, there are two extra suits ($\triangle$, a black suit, and $\circ$, a red suit), giving a total of 6 suits. Each suit thus has 16 unique cards. The deck is randomly arranged. What is the probability that the top card is red and the second card is black?

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