2. A rat runs through the maze shown below. At each step it leaves the room it is in by choosing at random one of the doors out of the room. 1 2 3 5 + 4 6 (d) The rat starts in room 1, in room 5 there is a deadly trap. What is the expected number of steps before the rat is caught in the trap? [2] (e) Suppose we remove the trap and another rat enters the maze starting in room 1. What is the expected time to return to room 1? [1]
2. A rat runs through the maze shown below. At each step it leaves the room it is in by choosing at random one of the doors out of the room. 1 2 3 5 + 4 6 (d) The rat starts in room 1, in room 5 there is a deadly trap. What is the expected number of steps before the rat is caught in the trap? [2] (e) Suppose we remove the trap and another rat enters the maze starting in room 1. What is the expected time to return to room 1? [1]
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 8SC
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Transcribed Image Text:2. A rat runs through the maze shown below. At each step it leaves the room it is in by choosing at random
one of the doors out of the room.
1
2
3
5
+
4
6
![(d) The rat starts in room 1, in room 5 there is a deadly trap. What is the expected number of steps before
the rat is caught in the trap? [2]
(e) Suppose we remove the trap and another rat enters the maze starting in room 1. What is the expected
time to return to room 1? [1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc05cf68-81ae-4970-8864-261fc4d70f9c%2Fe0bc77bf-f2e0-4164-92b2-6859e4b64512%2Fqeqezim_processed.png&w=3840&q=75)
Transcribed Image Text:(d) The rat starts in room 1, in room 5 there is a deadly trap. What is the expected number of steps before
the rat is caught in the trap? [2]
(e) Suppose we remove the trap and another rat enters the maze starting in room 1. What is the expected
time to return to room 1? [1]
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