
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
To complete the collection, we need to find the probability that among Semyon's 9 coupons, there are the 6 that Temyon is missing. The probability is given by

$$
\frac{C_{6}^{6} \cdot C_{11}^{3}}{C_{17}^{9}}=\frac{3}{442} \approx 0,007
$$

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