Geometric Probability, A & B fight, compute the probability that the fitst lasts forever
A & B having a duel . Each on their turn tries to hit the other with his sword until one of them gets hit.
On a single turn, A has a probability of 0.7 to successfully hit B, and B has prob of 0.8. A starts the duel.
Q. Compute the probability that this fight lasts forever and the prob that A wins.