Problem 2 There are two locked doors. A person has six keys, two of which open the doors. {Assume that each door mas one lock, and the locks cannot be opened by the same key.) {a} 1f the person chooses two keys randomly, what is the probability that he can open the both doors with these hays? {b} The person has tried three Mys chosen randomly, and none of those Mys opens the rst door. What is the conditional probability that one of those ke:.rs opens the second door? (c) The person is going to choose [mys randomly one after another, and try to open with them each of the doors. On average, how many hays will be tried until one of the doors opens? Write your solution here