
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
Cybil, Ronda, and Alex are friends. The 15 letters from their names are placed on identical cards so that each of the 15 cards contains one letter. The names contain distinct numbers of letters: Cybil has 5 letters, Ronda has 5 letters, and Alex has 5 letters. Without replacement, three cards are selected at random from the 15 cards. What is the probability that one letter is selected from each person's name? Express your answer as a common fraction.

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