
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
A deck of 51 cards is divided equally into three colors: red, black, and blue (17 of each). The cards are dealt in a circle. What is the expected number of pairs of adjacent cards which are both red? Express your answer as a common fraction.

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