Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls. Suppose that we win $2 for each black
ball selected and we lose $1 for each white ball selected. Let X denote our winnings (where negative values are possible). Determine the possible values for X, then determine the probability mass function for X.
From the information, an urn consists of, 4 black, 2 orange balls and 8 white.
The person loses $1 for each white ball selected, no money is lost or gained for any orange balls picked and win $2 for each black ball selected. Let the random variable X denotes the winnings.
