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Expected value

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Assume a mouse in the maze has three routes to choose from. The probability of taking the routes #1, 2, and 3 are 0.35, 0.4, and 0.25 respectively.
The route #1 gets the mouse out in three hours; route #2 brings it back to the center after 2 hours, and route #3 brings the mouse back to the center after a travel of 4 hours. If the probabilities remain the same, what is the expected time the mouse takes to get out?

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This provides an example of determining expected time for a mouse in a maze.

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Assume a mouse in the maze has three routes to choose from. The probability of taking the routes #1, 2, and 3 are 0.35, 0.4, and 0.25 respectively.
The route #1 gets the mouse out in three hours; route #2 brings it back to the center after 2 hours, and route #3 brings the mouse back to the ...

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