
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
We have a standard deck of 52 cards, with 4 cards in each of 13 ranks. We are interested in forming a poker hand called 'two pair', which contains two cards of one rank, two cards of another rank, and an additional card of a third rank. What is the probability of randomly selecting five cards to form a 'two pair'?

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