i need correct answer

Question 6 [1 mark] You are in a maze with 4 rooms. To navigate the maze you decide to wander randomly with the following strategy? 0 In room A you wili exit with probability \"3, move to room B with probability 1.13, and move to room C wilh probability 1i3. c In room B you will move to room D with probability 1:3, and room A with probability 28. I In room C you will move to room D with probability 2'3, and room A with probability 1i3. 1- In room D you will exit with probability 1I3, move to room B with probability 133, and move to room C with probability 1i3. Starting from Room A, what is the probability that you will exit the maze from Room D? Enter your answer to 3 d.p.s. An answer within 10.001 wilt be correct Enter number Question 9 (1 mark) Let P be a probability distribution, and A and B events. True or false: P(A) = P(B) if and only if P(A|B) = P(B|A) (a) O True (b) O False Question 10 (1 mark) Let A,B,C,D be events in a probability space. Suppose ALB, BIC, CID. True or false: It is always true that AID (a) O True (b) O False