Three people A, B and C are put in three different rooms in a maze and...

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Three people A, B and C are put in three different rooms in a maze and are told to make their way out as soon as possible. Each person can select any door she can see in a room with equal probability all the time, so the doors can't be marked or remembered. All times spent are shown on the roads. Then, according to the map below, which person is expected to leave earliest? 3 A 2 2 Exit 2 B 1 2 2 C 3 Three people A, B and C are put in three different rooms in a maze and are told to make their way out as soon as possible. Each person can select any door she can see in a room with equal probability all the time, so the doors can't be marked or remembered. All times spent are shown on the roads. Then, according to the map below, which person is expected to leave earliest? 3 A 2 2 Exit 2 B 1 2 2 C 3