
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
Sasha draws 3 cards without replacement from 6 cards labeled with numbers 0 to 5 and performs the following operation: If the 3 cards do not contain the card labeled 0, then the average value of the numbers on the 3 cards is recorded; if the 3 cards contain the card labeled 0, then the sum of the numbers on the 3 cards is recorded. What is the probability that the number she records after drawing once is equal to 3? (Express the result as a simplest fraction.)

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