
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 104 cards (two standard decks combined) has 26 ranks (Ace to King each appearing twice) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), each suit having two of each rank. The deck is randomly arranged. What is the probability that the top card is a Heart, the second card is a Spade, and the third card is a King?

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