
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 bag contains kernels of three types: 40% white, 40% yellow, and 20% red. Of these, 70% of white kernels will pop, 50% of yellow kernels will pop, and none of the red kernels will pop. You randomly pick a kernel from the bag, it pops. What is the probability that it was white?
**A)** \(\frac{1}{2}\) 
**B)** \(\frac{7}{12}\) 
**C)** \(\frac{2}{3}\) 
**D)** \(\frac{3}{5}\) 
**E)** \(\frac{5}{8}\)

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