His childhood lasted one sixth of his life; he grew a beard after one twelfth more; one seventh later he was married. five years later he had a son. the son lived exactly half as long as his father. four years later, diophantus died. how old was diophantus when he died?

Over the course of the school year, you keep track of how much snow falls on a given day and whether it was a snow day. your data indicates that of twenty-one days with less than three inches of snow, five were snow days, while of the eight days with more than three inches of snow, six were snow days. if all you know about a day is that it is snowing, what is the probability that it will be a snow day?