You wake up in an empty room with three doors labeled A, B, and C. There is a paper note saying that all doors will eventually lead to the exiting hallway. Some doors will have more doors behind them. Each door has a probability p of being unlocked. independent of the state of other doors. a) There is exactly one extra door behind door A and no doors behind doors B and C. What's the probability of reaching the exit? l3') d) There are exactly k-1 doors behind door A (making a total of k doors including door A) and no doors behind doors B and C. What's the probability of reaching the exit? The exit is reachable and there are exactly k-1 doors behind door A (making a total of k doors including door A) and no doors behind doors B and 0. What's the probability of being able to reach the exit through door C? The exit is reachable and there are exactly k-1 doors behind door A (making a total of k doors including door A) and no doors behind doors B and C. What's the probability of the last door behind door A being unlocked