
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
Using simple random sampling, a sample of size 3 is drawn sequentially from a population of $n$ individuals. Given that the probability of individual $a$ being drawn on the first draw is $\frac{1}{8}$, determine the value of $n$ and the probability that any individual is drawn during the sample.

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