Answer: 9 minutes.
Solution:
Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze:
time = (1/4)×5 + (1/4)×(8 + time) + (1/4)×(3) + (1/4)×(2 + time).
Time = 9 minutes.
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