
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
Sue owns 15 pairs of shoes: eight identical black pairs, four identical red pairs, and three identical white pairs. If she picks two shoes at random, what is the probability that they are the same color and one is a left shoe and the other is a right shoe? Express your answer as a common fraction.

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