Suppose we randomly distribute m \geq 1 balls into n \geq 1 initially empty bins, so that each ball has an equal chance of being placed in each bin. What is the expected number of balls in the first bin? What is the expected number of empty bins?
Suppose we randomly distribute m \geq 1 balls into n \geq 1 initially empty bins, so that each ball has an equal chance of being placed in each bin. What is the expected number of balls in the first bin? What is the expected number of empty bins?