advanced probability questions, please do it with clear steps and explanation. thank you

7. A and B ght a duel with pistols, ring simultaneously. The chance that A kills B with any one shot is 0.25 and the chance that B kills A is 0.4. What is the chance that both are alive after the second round? What are their respective chances of survival in a duel to death? {Hints 2:0 pi = 1%,, for 0 (I p In: 1.]