2} {3 pts} In class, we played a game where 3 distinct digits were hidden behind 3 \"doors.\" The contestant would choose one of the doors and the number behind it was revealed. Based on this number, the contestant could either choose to stay with that door. or switch to another door.r with the goal of selecting the door that had the lowest number behind it. We also showed in class that the optimal strategy for the game was to keep the same door if the number revealed was 3 or lower1 and to switch otherwise. Change the game so that the numbers behind the 3 doors are distinct positive integers in hchvccn l and 30., inclusive. What is the largest integer k, such that if a contestant reveals In their best chance of winning is slaving with that door. For that value ofk, what is the contestant's chance of winning. given that they stay with the same door? For that value ofk, what is the contestanfs chance of winning if they switch to a different door