
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
Shuffle the 12 cards of the four suits of A, K, Q in a deck of playing cards.  
(1) If a person draws 2 cards at random, what is the probability that both cards are Aces?  
(2) If the person has already drawn 2 Kings without replacement, what is the probability that another person draws 2 Aces?

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