Event A has a 0.3 probability of occurring and event B has a 0.4 probability of occurring. A and B are independent events. What is the probability that neither A or B occurs?A. 0.42B. 0.12C. 0.10D. 0.70

Answer:The correct answer is A.  0.42Step-by-step explanation:Probability that neither A nor B occurs  [tex]= P(\bar{A})\cdot P(\bar{B})\\= (1 - 0.3)\cdot (1 - 0.4)\\= 0.7 \cdot 0.6\\ = 0.42[/tex]Hence, the required probability is 0.42 and the correct option is A