
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 park, 60 people are wearing sunglasses, and 40 people are wearing caps. Some people are wearing both sunglasses and caps, and out of these, 8 people are also wearing hats. If a person wearing a cap is selected at random, the probability that this person is also wearing sunglasses is $\frac{1}{2}$. If instead, someone wearing sunglasses is selected at random, what is the probability that this person is also wearing a cap?
A) $\frac{1}{4}$
B) $\frac{1}{3}$
C) $\frac{1}{2}$
D) $\frac{2}{3}$

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