When opening a container of 32 toy ballet dancers performing pirouettes, let X denote the number of

Question:

When opening a container of 32 toy bal¬let dancers performing pirouettes, let X denote the number of broken dancers, and let Y denote the number of whole (unbroken) dancers.
Write Z = X/Y, i.e., Z is the ratio of broken dancers to whole dancers. What complication arises in this definition of Z as a random variable?