A family has n children, n ≥ 2. We ask from the father, "Do you have at least one daughter named Lilia?" He replies, "Yes!" What is the probability that all of their children are girls? In other words, we want to find the probability that all n children are girls, given that the family has at least one daughter named Lilia. Here you can assume that if a child is a girl, her name will be Lilia with probability α ≪ 1 independently from other children's names. If the child is a boy, his name will not be Lilia.