In the city of Camelot, a guard's duties will fall into one of three categories: - guarding the royal family, - patrolling the battlements, - and keeping peace within the city. There is a head guard for each of these categories, and every week they are responsible for randomly reassigning the guards to the other duties (in case of enemy spies, and other reasons). The method used by the head guards for reassigning guards are listed below: - Royce, the head of the royal guard, reassigns his guards as follows: If a guard is currently responsible for protecting the royal family this week, then next week, the guard will be: 0 Remain guarding the royal family with a probability of 0.7. o Reassigned to patrolling the battlements with a probability of 0.3. Royce would never reassign one of his guards to keeping the peace. 0 Patricia, the head of battlement patrol, reassigns her guards as follows: If a guard is currently responsible for patrolling the battlements this week, then next week, the guard will be: 0 Reassigned to guard the royal family with a probability 0.4. o Reassigned to keeping peace within the city with a probability of 0.6. Patricia would never allow a guard to patrol the battlements 2 weeks in a row. - Kiera, the head of city peace-keeping, reassigns her guards as follows: If a guard is currently responsible for keeping peace in the city this week, then next week, the guard will be: 0 Reassigned to the royal guard with a probability of 0.1. o Reassigned to patrolling the battlements with a probability of 0.4. o Remain as a city peace-keeper with a probability of 0.5.