
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 marksman shoots once and has a probability of 0.9 to hit the target. If he shoots four times consecutively, and the outcomes of the shots are independent of each other, consider the following statements:
1. The probability of the marksman hitting the target on the third shot is 0.9.
2. The probability of the marksman hitting the target exactly three times is $0.9^3 \times 0.1$.
3. The probability of the marksman hitting the target at least once is $1 - 0.1^4$.
4. The average number of times the marksman hits the target is 3.6.
Determine which of these statements are correct.

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