A bag contains marbles, two of which are blue. Hayley plays a game in which she randomly draws marbles out of the bag, one after another, without replacement. The game ends when Hayley draws a blue marble. Find the probability, in terms of , that the game will end on her first draw. 9b. [3 marks] Find the probability, in terms of , that the game will end on her second draw. 9c. [2 marks] Let = 5. Find the probability that the game will end on her third draw. 9d. [2 marks] fourth draw. 9e. [7 marks] Hayley plays the game when = 5. She pays $20 to play and can earn money back depending on the number of draws it takes to obtain a blue marble. She earns no money back if she obtains a blue marble on her first draw. Let M be the amount of money that she earns back playing the game. This information is shown in the following table. Find the value of so that this is a fair game.