
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
Consider two standard decks of 52 cards each, mixed together, making a total of 104 cards with 26 of each suit and 2 of each specific card like Ace of Spades, making 52 red and 52 black cards. The deck is randomly arranged. What is the probability that the top card is red, the second card is black, and the third card is a red heart?

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