Well what have you done? Try starting with part (a)stuck on this too
"In the game of Risk, battles are decided by the rolling of dice. Suppose that there are two armies,
red and blue. The red army rolls three dice and the blue army rolls two dice. Whichever army rolls
the highest number (on a single die) is declared the winner. In the event of a tie (both armies have
the same highest number), the blue army is declared the winner.
(a) Let denote the highest number rolled by the red army. Find the probability mass function
(b) Let denote the highest number rolled by the blue army. Find the probability mass function
(c) Calculate the probability that the red army wins."