In a certain game, P(win 1 point in each trial) = 0.75, P(lose 1 point in each trial) = 0.25. The game ends whenever the score is +2 points or - 2 points.
If x = P(Win the game),
y = P(Win the game given that he won the 1st trial),
z = P(Win the game given that he lost the 1st trial).
(i) Find x, y and z.
[Hint: Set up 3 equations to solve for x, y and z).
(ii) Find P(Win the game) at the end of the nth trial.
[Note : 2 answers, 1 for n is odd and 1 for n is even.]