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A random variable is a function that assigns a unique numerical value to every possible event having an outcome dependent on chance.  The random variable will typically be different for each new event, such as a new toss of a coin.

A '''random variable''' is a function that assigns a unique numerical value to every possible event having an outcome dependent on chance.  The random variable will typically be different for each new event, such as a new toss of a coin.

There are discrete and continuous random variables.  An example of a discrete random variable is the umber of heads observed in the ten tosses of a coin.  This random variable can only have the values 0, 1, 2, ... or 10.  An example of a continuous random variable is the mileage on your car until it breaks down.  It can have any positive value.

There are discrete and continuous random variables.  An example of a discrete random variable is the umber of heads observed in the ten tosses of a coin.  This random variable can only have the values 0, 1, 2, ... or 10.  An example of a continuous random variable is the mileage on your car until it breaks down.  It can have any positive value.