
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
A fair 10-sided die is repeatedly rolled until a non-prime number (1, 4, 6, 8, 9, or 10) appears. What is the probability that every prime number (2, 3, 5, 7) appears at least once before the first occurrence of a non-prime number?

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