Quiz Question Alice and Bob are sitting directly across from each other at a circular table withsix chairs. They decide to move chairs.At each step, Alice and Bob will move according to the following rules.AliceBob(1) Alice chooses a chair randomly, which is equally likely to be the chair on her left, the chairon her right, or her current chair. Independently, Bob also chooses a chair randomly,which is equally likely to be the chair on his left, the chair on his right, or his currentchair.Alice’s choice of chair at this step is unaffected by where Bob is sitting, and similarly forBob’s choice of chair.(2) Then Alice and Bob compare their choices. If they have chosen the same chair, then Aliceand Bob do not move. Otherwise, if they have chosen different chairs, then they eachmove to the chair they chose.If Alice and Bob are sitting next to each other at the current step, and if they each choosethe other person’s chair, then they will swap chairs.
Question
Quiz Question Alice and Bob are sitting directly across from each other at a circular table withsix chairs. They decide to move chairs.At each step, Alice and Bob will move according to the following rules.AliceBob(1) Alice chooses a chair randomly, which is equally likely to be the chair on her left, the chairon her right, or her current chair. Independently, Bob also chooses a chair randomly,which is equally likely to be the chair on his left, the chair on his right, or his currentchair.Alice’s choice of chair at this step is unaffected by where Bob is sitting, and similarly forBob’s choice of chair.(2) Then Alice and Bob compare their choices. If they have chosen the same chair, then Aliceand Bob do not move. Otherwise, if they have chosen different chairs, then they eachmove to the chair they chose.If Alice and Bob are sitting next to each other at the current step, and if they each choosethe other person’s chair, then they will swap chairs.
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