
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
Andrew has a fair six-sided die labeled with 1 through 6. He tosses it repeatedly, and on every third roll writes down the number facing up, as long as it is not a 6. He stops as soon as the last two numbers he has written down are either both squares or one is a prime and the other is a square. What is the probability that he stops after writing squares consecutively?

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