
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 several balls, which are red, black, yellow, and white. When a ball is randomly drawn from the bag, the probability of getting a red ball is $\frac{1}{3}$, the probability of getting a black or yellow ball is $\frac{5}{12}$, and the probability of getting a yellow or white ball is $\frac{5}{12}$. What is the probability of getting a white ball?

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