
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 \$\frac{2}{5}\$ white kernels, \$\frac{1}{5}\$ yellow kernels, and \$\frac{2}{5}\$ blue kernels. White kernels have a \$\frac{1}{4}\$ chance of popping, yellow kernels have a \$\frac{3}{4}\$ chance, and blue kernels have a \$\frac{1}{2}\$ chance of popping. A kernel is randomly selected from the bag and pops when placed in the popper. What is the probability that this kernel was white?
A) $\frac{1}{9}$
B) $\frac{1}{5}$
C) $\frac{2}{9}$
D) $\frac{1}{3}$
E) $\frac{2}{5}$

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