
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 a survey about whether high school students have ever smoked, two questions are presented for answering. The inconsequential question is: "Is the last digit of your ID number odd?" The sensitive question is: "Have you ever smoked?" Then, the high school students being surveyed are asked to roll a fair die once, and if an odd number shows up, they answer the first question; otherwise, they answer the second question. Because only the respondents know which question they are answering, they are generally willing to answer truthfully. If this method is applied to 300 surveyed high school students and 80 "Yes" answers are received, then the approximate percentage of people in this group who have smoked is __________.

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