
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 particular town, it is found that one out of every 200 people suffers from a specific symptomless disease. There is a test to detect this disease, which is perfectly sensitive (if you have the disease, the test is always positive). However, for individuals not having the disease, the test still shows a positive result $5\%$ of the time (false positive rate). If a random individual from this town tests positive, what is the probability that they actually have the disease?
A) $\frac{1}{219}$
B) $\frac{10}{219}$
C) $\frac{20}{219}$
D) $\frac{40}{219}$

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