
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
In a bag, there are 12 balls, consisting of red, black, and yellow balls in some numbers (these balls are identical except for their colors). When drawing a ball at random, the probability of getting a red ball is $\frac{1}{3}$. The probability of getting a black ball is $\frac{1}{6}$ more than the probability of getting a yellow ball. Find the probabilities of getting a black ball and a yellow ball, respectively.

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