IN THE UNITED STATES MOST UNIVERSITIES TAKE FOUR YEARS. THE MISKATONIC UNIVERSITY ADMISSIONS OFFICE MODELS A STUDENT'S PATHWAY THROUGH THE UNIVERSITY AS FOLLOWS: A STUDENT'S PROBABILITY OF DROPING OUT IS 10% DURING THE FIRST YEAR AND REDUCES TO 5% THE NEXT THREE YEARS. THE PROBABILITY OF A STUDENT OF REPEATING THE YEAR IS 10% FOR ALL YEARS EXCEPT FOR THE THIRD IN WHICH THE PROBABILITY AMOUNTS TO 15%. THE PROBABILITY OF PASSING THE YEAR IS 80% FOR THE FIRST AND THIRD YEARS AND FROM 85% FOR A SECOND AND THE FINAL YEAR, STUDENT GRADUATES. IF A STUDENT ENTER MISKATONIC BY SOLVING IT WITH MARKOV CHAINS, The number of possible states, The transition diagram, The transition matrix, The partition of the transition matrix .