
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
Two different numbers are randomly selected from the set $\{-3, -2, 0, 0, 5, 6, 7\}$. What is the probability that the product of these two numbers is $0$?
**A)** $\frac{1}{4}$
**B)** $\frac{1}{5}$
**C)** $\frac{5}{21}$
**D)** $\frac{1}{3}$
**E)** $\frac{1}{2}$

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