Probability has something to do with chances. It is the study of things that might happen or might not. We use it most of the time. Usually without thinking of it. lCine of the applications of probability is predicting the outcome when you throw a dice. Suppose that your friends Anne and Jane are asking you if they can change the TV channel they are watching. Anne wants the channel changed to the station that shows a news program, but Jane wants it to be changed to a channel that shows nature documenters. To avoid a ght and a misunderstanding between your friends, you decide to have a short game. The game IS simple. You will roll a pair of dice. Ifthe sum of the dots that shows up IS even, Jane changes the channel to a documentary show. If the sum is odd, Anne changes the channel for current news. a.) Is the game actually fair? Elaborate your answer. b.) How many combinations give an even sum? How many give an odd sum? List all the possible combinations that can come up rolling the dice