
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 person shoots consecutively for $6$ times, recording whether each shot hits or misses:

$(1)$ How many different possible outcomes could occur?

$(2)$ How many outcomes involve hitting exactly $3$ times?

$(3)$ How many outcomes involve hitting exactly $3$ times with exactly $2$ consecutive hits?

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