i am not getting the correct anwser for #9, can i please get an explanation?

Ch. 48: Reliability At a given point in time: A certain product is comprised of two components: X and Y. Component X has a failure rate of one in every ten years, while Y's failure rate is one in every five years. X=lout of 10 1. What is the probability that component X will fail? [.1) yoj out of 5 1/10 = 1 2. What is the probability that component Y will fail? [-2] 1/5 - 2 3. What is the probability that component X will perform reliably? [9] 10-1 .9 4. What is the probability that component Y will perform reliably? [.8) 10- 2 .8 5. What is the probability that this product will function reliably? [.72) 9x.8=.12 6. What is the reliability of the product if component X is backed up with an identical component? (792) I-0.1 = 99 * 8 = 792 7. What is the reliability of the product if component Y is backed up with an identical component? [.864) 1-0.2 =.968.9=.869 8. What is the reliability of the product if both X and Y are backed up with components that are identical to the original components? [.9504] 998.96=.9504 9. What is the reliability of the product if both X and Y are backed up with components that are identical to the original components and have switches that are cach.95 reliable? (9382) (X= .99 95.9405 reliability y - .96*.950.112 product reliability = -99054. 112=.8577