Possible outcomes of a specified discrete random variable

A discrete random variable can take on a specific set of values. These values are countable. For example, when we throw a dice, then it can take only six values - 1, 2, 3, 4, 5, and 6. The result of throwing a dice is a discrete random variable, and the possible outcomes are natural numbers ranging from one to six.

Suppose there are thirty stocks in a particular index and we define a random variable as the number of stocks that have earned a return of greater than 10 percent. This random variable is again a discrete random variable as it can take on specific values that are countable and the possible outcomes are the whole numbers ranging from 0 to 30.

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