Each of two switches is either on or off during a day. On day n, each switch

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Each of two switches is either on or off during a day. On day n, each switch will independently be on with probability [1+ number of on switches during day n - 11/4 For instance, if both switches are on during day 1, then each will independently be on during day n with probability 3/4. What fraction of days are both switches on? What fraction are both off?

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