Randomly only means that Nobody says before that the candidates must have a certain characteristic(e.g. that they have to be Male) and that Nobody knows before who gets chosen.
Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.
Step-by-step explanation: Because he grows a half inch every month, this means that It takes him two months to grow one full inch. Because he has to grow six inches, you just multiply 2 by 6 to get 12 months or one year.