A mouse is placed in room 3 of the maze shown to the right. At each step the mouse exits the particular room that it is in, and is equally likely to choose any of the available doors to leave. a. Construct a transition matrix and an initial probability vector for the mouse's travels. b. What are the probabilities that the mouse is in each of the rooms after 5 moves? a. The transition matrix is P = 00 22 (Type an integer or simplified fraction for each matrix element.) 2 5 3

A mouse is placed in room 3 of the maze shown to the right. At each step the mouse exits the particular room that it is in, and is equally likely to choose any of the available doors to leave. a. Construct a transition matrix and an initial probability vector for the mouse's travels. b. What are the probabilities that the mouse is in each of the rooms after 5 moves? a. The transition matrix is P = 00 22 (Type an integer or simplified fraction for each matrix element.) 2 5 3

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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