
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
Given a bag of popping corn contains $\frac{3}{4}$ white kernels and $\frac{1}{4}$ neon yellow kernels, where only $\frac{2}{3}$ of the white kernels and $\frac{3}{4}$ of the neon yellow ones will pop, and given that $\frac{1}{4}$ of the popped kernels will also fizz automatically regardless of color, determine the probability that a kernel selected, which pops and then fizzes, was white.

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