You are playing a game where you flip a 3 sided dice.

a.) You are playing a game where you flip a 3 sided dice. Let X= the number of dots you see on a face of a dice. The sample space is {1,2,4} P(X = 1) = 2/3 P(X = 2) = 1/6 P(X =4) = 1/6 Calculate E(X), and Var/'(X) show your work. Now the game as a new rule if you roll a 4, you can flip a coin where the probability of seeing heads is 40%. Else if you roll a 1 or 2, you can flip a fair coin (50% heads). Calculate E(X + 2Y)