[tps_title]Quantitative Interview Questions[/tps_title]
At some point in history, the lost city of Atlantis contained 500,000 childless, married couples. Each family wished to continue the family name through the birth of a son, but the government has a mandate to limit the risk of overpopulation. Hence, each family must have 1 child per year until the birth of a son. For example, if family A has 3 children, then there are 2 situations: (1) family A has 3 girls and will have another child; or (2) family A has 2 girls and 1 boy and will not increase the size of their family through a birth. A family is equally likely to have a male baby as it would a female baby. Let p(t) be the percentage of children in Atlantis at the end of year t. How is p(t) expected to evolve over time?
