
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 deck of fifty-two cards consists of four Aces, four 2's, ..., and four Kings. A matching pair (two cards with the same rank) is removed from the deck. Determine the probability that two randomly selected cards from the remaining deck also form a pair. Express the probability in the form $m/n$, where $m$ and $n$ are coprime integers, and find the sum $m + n$.

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