R.2. A game is played by rolling a fair six-sided die.The game continues until the die lands showing a '1' or an '6', or six throws have been made. V

When the game ends all rolls of the die count -so if they roll a one on the first attempt, this counts as one roll of the die being made.The game costs the player £ 2.75 to enter, but the player wins back£ 1.00 for every roll of the die made. (a) Give the sample space and define a random variable W to describe the winnings of the player. (b) Calculate the expected winnings of the player, is this a good game for the player? (c) What is the standard deviation of the player's winnings?