
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
An ordered pair \( (b, c) \) of integers, each ranging between \(-7\) and \(7\), inclusive, is selected randomly. What is the probability that the equation \( x^2 + bx + c = 0 \) does not have distinct real roots?
A) \( \frac{3}{5} \)
B) \( \frac{4}{5} \)
C) \( \frac{9}{15} \)
D) \( \frac{11}{15} \)

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