
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
A pair of dice with different sides (one 4-sided and one 8-sided) are rolled once. The sum of the numbers rolled serves as a coefficient \( k \) which multiplies with the diameter \( d \) of a circle to form its circumference \( C = \pi k d \) and affects the area which becomes \( A = \pi k \left(\frac{d}{2}\right)^2 = \frac{\pi k d^2}{4} \). If \( d = 5 \), what is the probability that the area of the circle is less than the numerical value of the circle's circumference?
**A)** \( 0 \)
**B)** \( \frac{1}{2} \)
**C)** \( \frac{3}{4} \)
**D)** \( 1 \)

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