
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 now owns 17 pairs of shoes: eight identical black pairs, four identical brown pairs, three identical gray pairs, and two identical red pairs. If she picks two shoes at random, what is the probability that they match in color and include one left shoe and one right shoe? Express your answer as a common fraction.

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