
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
The battery fired six shots at a target. The probability of hitting the target with one shot is 0.3. Find: a) the most likely number of hits; b) the probability of the most likely number of hits; c) the probability that the target will be destroyed if at least two hits are enough to destroy it.

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