Sir Lancelot and Sir Galahad are doing a shoot out, in which they try to shoot each other while shooting in the same time at each other. The probability of Sir Lancelot to hit Sir Galahad is 0.5 and the probability of Sir Galahad to hit Sir Lancelot is 0.25. All the shots are independent.
A. What is the probability that the shoot out will end in the n's round ?
B. If it is known that after k rounds the shoot out did not end, what is the chance that is will end within two rounds ?
C. What is the chance of Sir Lancelot to win ?
D. What is the chance of Sir Galahad to win ?