Question Bank
MU DIVISION
Question 49
Loading saved statistics and bookmark… You can read the question while this loads.
⏱ Time: 0:00
Question
Tiger is trapped in a room with three doors. Behind one of the doors is a path that, when he travels it for 20 minutes, will lead to freedom. Behind the second door is a path that, after 24 minutes, will lead back to the same room, but the doors will be randomly permuted. Behind the third door is a path that, after 48 minutes, will lead back to the same room, but again the doors will be randomly permuted. If, whenever Tiger is in the room, he has an equal likelihood of picking any one of the three doors, what is the expected length of time it will take Tiger to escape?