
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 14 pairs of shoes: seven identical black pairs, four identical brown pairs, two identical gray pairs, and one pair of red shoes. If she picks two shoes at random, what is the probability that they are the same color and consist of one left and one right shoe? Express your answer as a common fraction.

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