Mr. Hadd E. Nuff wants to leave the museum, but he has become flustered. He is wandering from room to room at random; he is as likely to leave a room by any one door as by any other door. However, when he reaches Room F, he can see the exit, and thus he will definitely go that way and not return. Find the transition matrix for the path taken by Mr. Nuff; use one state for each room and one for "out of the area."

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Note: For this problem, there is no door between rooms B and C.

 

 

 

 

4. The floor plan of a portion of a museum is shown in the diagram
below.
A
B
с
D
E
F
EXIT
Mr. Hadd E. Nuff wants to leave the museum, but he has become
flustered. He is wandering from room to room at random; he is
as likely to leave a room by any one door as by any other door.
However, when he reaches Room F, he can see the exit, and thus
he will definitely go that way and not return. Find the transition
matrix for the path taken by Mr. Nuff; use one state for each room
and one for "out of the area."
Transcribed Image Text:4. The floor plan of a portion of a museum is shown in the diagram below. A B с D E F EXIT Mr. Hadd E. Nuff wants to leave the museum, but he has become flustered. He is wandering from room to room at random; he is as likely to leave a room by any one door as by any other door. However, when he reaches Room F, he can see the exit, and thus he will definitely go that way and not return. Find the transition matrix for the path taken by Mr. Nuff; use one state for each room and one for "out of the area."
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How is there a door in B? I clearly stated that there is no door between rooms B and C. Please look at the entire problem carefully and give the correct solution. 

 

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