
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 is chosen such that b is non-negative and less than or equal to 5, and c is between -10 and 10, inclusive. Find the probability that the equation x^2 + bx + c = 0 will not have distinct positive real roots.

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