
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
Allen and James are brothers. The 12 letters from their names are placed on identical cards so that each of the 12 cards contains one letter. Without replacement, two cards are selected at random from these 12 cards. What is the probability that one letter is from each brother's name if Allen's name takes 6 letters and James's name takes 6 letters? Express your answer as a common fraction.

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