
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
Given that there are balls numbered from 1 to 8 in the bag, two balls are randomly drawn. Determine the number of probabilities $p_k$ that satisfy $p_k > \frac{1}{8}$, where $p_k$ represents the probability that the smaller number of the two drawn balls is $k$.

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