A rat is placed in room F or room B of the maze shown in the figure.

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A rat is placed in room F or room B of the maze shown in the figure. The rat wanders from room to room until it enters one of the rooms containing food, L or R.

Assume that the rat chooses an exit from a room at random and that once it enters a room with food it never leaves.

(A) What is the long-run probability that a rat placed in room B ends up in room R?

(B) What is the average number of exits that a rat placed in room B will choose until it finds food?

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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Question Posted: Apr 26, 2022 11:31 PM

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A rat is placed in room F or room B of the maze shown in the figure.

Question:

L B R F

Step by Step Answer:

Let us consider the diagram and theory we form the following transition matrix Where Rat is placed i...View the full answer

College Mathematics For Business Economics, Life Sciences, And Social Sciences

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