EXERCISE . . Suppose X is the number of tails occurred when three fair coins are tossed once simultaneously. Find the values of the random variable X and number of points in its inverse images.
. An urn contains mangoes and apples. Three fruits are taken at random. If the number of apples taken is a random variable, then find the values of the random variable and number of points in its inverse images.
. Two balls are chosen randomly from an urn containing red and black balls. Suppose that we win ` for each red ball selected and we lose ` for each black ball selected. If X denotes the winning amount, find the values of X and number of points in its inverse images.
. A six sided die is marked ‘ ’ on one face, ‘ ’ on two of its faces, and ‘ ’ on remaining three faces. The die is thrown twice. If X denotes the total score in two throws, find the values of the random variable and number of points in its inverse images.