Select the best possible answers in (9)-(10). And Explain why for each one. Please show me all vann diagram and necessary steps.

9. 10. Suppose that MA) = 0.4, 10(3) 2 0.3, and P(A U B) = 05. Are A and B mutually exclusive? (a) Yes (b) No A system consists of 3 components (C1? C2 and C33), and it functions properly if all 3 com- ponents work. Suppose that P(Cl works) 2 0.97, lP(C2 works) 2 0.99, and ll\"(C3 works) 2 0.95. If the components operate independently, what is the probability that the system will NOT work when turned on? (a) 0.0877 (b) 0.9123 (0) 0.000015 (d) 0.05