There are 6 bakeries on campus. Each bakery is open with probability 30% on Indepen- dence Day, mutually independent of other bakeries. 4 bakeries are located in the east campus, and 2 bakeries are located in the west campus. Suppose a person twice more likely to go to east campus than west campus on Independence Day to purchase bread, without any information. If there was exactly 1 bakery open on the side of campus the individual went to, what is the probability that this person went to the west campus?