2. 15 points. Game play in AD&D is generally sequential; events do not occur simulta- neously. For example, if I am attacking a dragon, the other players have to wait for me to stop before they can start. It's an assumption to simplify the management of the game (and if you think about it, true ties in timed events are extremely, extremely rare and generally are due to our limited ability to capture an accurate time). So, you and I are playing the game and come across two monsters. My attack can last from 10 to 25 seconds and your attack can last between 20 to 40 seconds; attack times are random, independent, and must be generated new for each attack. Each monster will die after 2 attacks, one from each of us, and I always attack first. You will pick and specify random values for our attack times and please don't use the same value for your attack time as mine). a. If the first monster has to be killed before we can attack the second monster, how much total time passes before both monsters are dead? What percentage of the total time were you actively busy (that is, killing monsters)? How long did the second monster have to wait before being attacked? b. If the second monster can be attacked before the first monster dies, how much total time passes before both are dead? What percentage of the total time were you busy? How long did the second monster have to wait before it was attacked? c. If we relax the assumption that I always attack first and if the second monster can be attacked before the first monster dies, how much total time passes before both are dead? What percentage of the time were you busy? How much time did the second monster spend waiting? For example, my first attack time will be 16 seconds and your first attack time will be 30 seconds. I attack the first monster at time 0 and complete it at time 16. You start your attack at time 16 and complete it at time 46 (16 + 30). And the monster dies. For part a, we would then be able to start the attack on monster two. I would attack at time 46 and the attack will take a new random amount of time, 18 seconds, so would finish at time 64 (46 + 18). You would start on your new attack with a new random amount of attack time, 22 seconds, and would finish at time 86 (64 + 22); monster two is now dead. The total passage of time on the attacks is 86 seconds and you spent 16+ 18 = 34 seconds waiting