
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
A biased coin has probability $p$ of landing heads in a single toss. Calculate the probability $v$ that, in $4$ independent tosses of this coin, heads will appear exactly $2$ times. If $p = \frac{3}{5}$, determine the value of $v$.
A) $\frac{220}{625}$
B) $\frac{210}{625}$
C) $\frac{205}{625}$
D) $\frac{216}{625}$

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