
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 box, there are 3 pairs of gloves with different colors (one pair each of red, blue, and yellow). Two gloves are taken out randomly with replacement. Let event $A$ represent "the two gloves taken out are one left-hand and one right-hand glove, but they do not match", find the probability of event $A$.

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