
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
In a statistical survey on sensitive issues, questionnaires must be carefully designed to alleviate respondents' concerns, ensuring that they answer questions truthfully. Otherwise, respondents may refuse to answer or not provide truthful responses. The Health Department of a certain region conducted a survey on smoking among high school students, randomly selecting 200 students for the survey. Two questions were used:
Question 1: Is your father's Gregorian birth date an even number?
Question 2: Do you smoke regularly?
The surveyors prepared an opaque bag containing 5 identical white balls and 5 identical red balls in size, shape, and mass. Each respondent randomly drew one ball (which was returned to the bag and mixed thoroughly) from the bag. Students who drew a white ball answered the first question truthfully, and those who drew a red ball answered the second question truthfully. If they answered "yes," they placed a small stone in a box; if "no," they did nothing. At the end of the survey, there were 55 small stones in the box.
(Ⅰ) Find the probability of respondents answering the first question.
(Ⅱ) Estimate the percentage of high school students in the region who smoke.

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