
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 larger deck of cards contains 104 cards divided into 4 suits, each of which has 26 cards. Two of the suits ($\heartsuit$ and $\diamondsuit$) are red, and the other two ($\spadesuit$ and $\clubsuit$) are black. The cards in this deck are shuffled randomly. What is the probability that the first three cards drawn from the deck are all red?

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