
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 Tommy are brothers. The 9 letters from their names (Alex has 4 letters, Tommy has 5 letters) are placed on identical cards so that each of 9 cards contains one letter. Without replacement, two cards are selected at random. What is the probability that one letter is from each brother's name? Express your answer as a common fraction.

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