Rat maze?
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A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.
What is the expected amount of time it will take for the rat to finish the maze?
x = 0.25 * 5 + 0.25 (x + 8) + 0.25 * 3 + 0.25 (x + 2)
x = 1.25 + 0.25x + 2 + 0.75 + 0.25x + 0.5
x = 4.5 + 0.5x
0.5x = 4.5
x = 9
Your Answer
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