
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
At a park, 75 people are wearing sunglasses and 50 people are wearing hats. Some people are wearing both. If a person wearing a hat is selected at random, the probability that this person is also wearing sunglasses is $\frac{1}{5}$. Find the probability that someone wearing sunglasses is also wearing a hat.
A) $\frac{2}{15}$
B) $\frac{1}{5}$
C) $\frac{1}{10}$
D) $\frac{3}{25}$
E) $\frac{1}{7}$

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