For the transition probability matrix given below draw the corresponding state probability diagram. A fair die is tossed many times in succession. The tosses are independent of each other. Let X[n]...

For the transition probability matrix given below draw the corresponding state probability diagram. A fair die is tossed many times in succession. The tosses are independent of each other. Let X[n] denote the maximum of the first n-\-1 tosses. Determine the transition probability matrix. Hint: The maximum value cannot decrease as n increases.