
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
Alex and Jamie have a collection of 12 letters from their names placed on identical cards, each card containing one letter. Without replacement, two cards are selected at random from the 12 cards. What is the probability that one letter is from each person's name? Assume Alex's name uses 6 letters and Jamie's name also uses 6 letters.

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