
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 game wheel is divided into four equal sections labeled $A$, $B$, $C$, and $D$. The probability of the pointer landing on region $A$ is $\frac{1}{3}$, and the probability of it landing on region $B$ is $\frac{1}{4}$. What are the probabilities of the pointer landing on regions $C$ and $D$ if the probability of landing on region $C$ is twice that of landing on region $D$?

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