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-1]/4 For instance, if both switches are on during day n-1, then each will independently be on with probability ¾. What fraction of days are both switches on? What fraction are both off?
I am having trouble finding the transition probabilities. I know what they all are (I have looked at the solution), but I don't understand how you get the values for each P_ij... I can easily find the stationary probabilities after finding the transition probability matrix.. Can anyone help me guide through the transition steps?