Good day, Could you please assist me with 8,9 and 10

Consider the information in the following table before answering questions 8 - 10 below. A hostel is equipped with two warning systems, system 1 and 2. The probability that working system 1 works is given by 0.6, and the probability that system 2 works is given by 0.93. The probability that system 2 is working given that system 1 is not working is given by 0.85. 8. Calculate the probability that both systems are working. a) 0.59 b) 0.85 c) 0.34 d) 0.06 e) 0.4706 f) None of the preceding 9. Calculate the probability that system 1 is down and system 2 is working. a) 0.59 b) 0.85 c) 0.34 d) 0.06 e) 0.4706 f) None of the preceding 10. What is the probability that system 1 is working given that system 2 down? a) 0.01 b) 0.06 c) 0.15 d) 0.1429 e) 0.0167 f) None of the preceding