A person plays a game of tossing a coin thrice. For each head, he is given by ₹ 2 by the organiser of the game and for each tail, he has to pay ₹ 1.50 to the organiser. Let X denote the amount gained or lost by the person. Show that X is a random variable and exhibit as a function of the sample space of the experiment.

Answer

{-4.50, -1, 2.50, 6}