
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
Six balls are arranged around a circle. Chris and Silvia, in turn, choose two adjacent balls at random independently and interchange them. Additionally, the second swapper (Silvia) cannot swap the same pair of balls that were swapped immediately before by Chris. What is the expected number of balls that occupy their original positions after these two successive transpositions?
A) 1.8
B) 2.2
C) 2.8
D) 3.2
E) 3.6

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