
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
Alice and Sarah are sisters. The 12 letters from their names are placed on identical cards, so each of the 12 cards contains one letter. Alice's name contributes 7 letters, and Sarah's name contributes 5 letters. Without replacement, two cards are selected at random from the 12 cards. What is the probability that one letter is from each sister's name? Express your answer as a common fraction.

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