
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
Gary and Paula are colleagues. Gary's name has 4 letters and Paula's has 5 letters. They wrote each of the 9 letters from their names on individual cards. Without replacement, two cards are drawn at random. What is the probability that one letter is from Gary's name and one is from Paula's name? Express your answer as a common fraction.

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