4) Player A plays a game with the player B in which the probability of winning $1 forA is double of the probability of losing $1 for A. If the player A goes broke or reaches $10, he quits. If the player A starts with $6, i) Find the probability that A goes broke. ii) Find the probability that A wins the game. iii) If now p = q, nd the probability A goes broke. iv) Find the expected duration for the game if he quits with reaches $10. V) If player A doubled his bet to $2 for each turn while the initial capital remain unchanged, nd the probability that A goes broke. Vi) If capital of B now is innite, nd the probability that A goes broke