Discrete Random Variable A random variable is called discrete if its range is either finite or countably infinite. Example.Two rolls of a die. The sum of the two rolls. o The number of sixes in the two rolls. The second roll raised to the fifth power.Discrete Random Variable  A random variable is called discrete if its range is either finite or countably infinite.  Example. Two rolls of a die.  The sum of the two rolls.  The number of sixes in the two rolls.  The second roll raised to the fifth power