
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 standard deck of cards has 52 cards divided into four suits of 13 cards each. Two of the suits are red (hearts and diamonds), and two are black (spades and clubs). The cards are shuffled into a random order. What is the probability that the first two cards drawn are red and the third card is a spade?

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