in a new school, percent of the students are freshmen, percent are sophomores, percent are juniors, and percent are seniors. all freshmen are required to take latin, and percent of sophomores, percent of the juniors, and percent of the seniors elect to take latin. the probability that a randomly chosen latin student is a sophomore is , where and are relatively prime positive integers. find . in a new school, percent of the students are freshmen, percent are sophomores, percent are juniors, and percent are seniors. all freshmen are required to take latin, and percent of sophomores, percent of the juniors, and percent of the seniors elect to take latin. the probability that a randomly chosen latin student is a sophomore is , where and are relatively prime positive integers. find .