
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 university campus, $60$ people are wearing hats, and $40$ people are wearing glasses. It is given that if a person wearing glasses is picked at random, the probability that this person is also wearing a hat is $\frac{1}{4}$. Find the probability that a person who is wearing a hat is also wearing glasses.
A) $\frac{1}{6}$
B) $\frac{1}{4}$
C) $\frac{2}{5}$
D) $\frac{1}{3}$

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