
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
An unfair coin with a probability of $\frac{3}{5}$ of landing on heads is tossed 30 times. What is the probability that the total number of heads is odd?
A) $\frac{1}{2}(1 - \frac{1}{5^{30}})$
B) $\frac{1}{2}(1 + \frac{1}{5^{30}})$
C) $\frac{1}{2}$
D) $1$

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