
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
During the New Year's Day period of 2017, a certain supermarket held a major discount event, where customers spending at least 88 yuan could get a chance to participate in a lottery. The lottery tool is a circular turntable divided into 6 sectors, labeled 1, 2, 3, 4, 5, and 6, respectively, with their areas forming a geometric sequence with a common ratio of 3. If the pointer arrow points to the smallest sector 1, the probability that a customer who has spent 88 yuan does not win the first prize is .

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