QUESTION 3 [23 marks] Gambling with dice: That's how I roll Charlie and Sheen love gambling with diee. Their favourite game is HighRolier. The game is played as follows: Charlie rolls a fair die :1 times, and if he rolls at least one six, he wins a dollar from Sheen. Otherwise, he gives Sheen $1. Assume that all rolls are independent of each other. a) [3 marks] Compute the probability that Charlie wins. Is the game Mr, or does someone have an advantage? Explain. e) [16 marks] Eventualijr, Sheen grew tired of losing. He proposed that they change the game slightly. For a. xed positive integer 1:, Charlie wnuld roll two fair dice 11 time; If Charlie rolls a double six within the In. rolls, he wins $1, and otherwise, he loses $1. (i) [3 marks] Determine the probability (as a function of n) that Charlie wins this game