Suppose we have a board with four squares marked 1, 2, 3, 4 as in thepicture:3We play a game where a counter is placed on one of the squares and wemove it to an adjacent square with probability given by the followingtable:Current position can move to these positions with this probability2 with probability 4, 3 with probabilityI with probability , 4 with probabilityI with probability 4, 4 with probability2 with probability , 3 with probability234Let xbe a vector such that r, is the probability that thecounter is on square i.(a) Write down a stochastic matrix A such that vector Ax gives theprobability for the position of the counter after one move.(b) Suppose we begin the game by placing the counter on square num-ber 1. Use your matrix from part (a) to calculate the probabilityit is on square I after two moves.

Answered: Image /qna-images/answer/02fa35d1-59c9-45dd-b640-fa870784ce5c.jpg

Answered: Suppose we have a board with four…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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