
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
Rita the painter rolls a fair  $6\text{-sided die}$ that has  $3$  red sides,  $2$  yellow sides, and  $1$  blue side. Rita rolls the die twice and mixes the colors that the die rolled. What is the probability that she has mixed the color purple?

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