
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) Two hunters simultaneously saw a fox and fired at it at the same time. Assume that each of these hunters usually hits and kills a fox at this distance in one out of three cases. What is the probability that the fox will be killed?

b) Solve the same problem for the case of three hunters, assuming that the accuracy of all these hunters is the same as in problem a).

c) Solve the same problem for the case of $n$ hunters.

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