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3. A spider hunts a fly moving between the positions 1 and 2 according to a Markov Chain with transition matrix 0.7 0.3 The fly, independently of the spider, moves between 1 and 2 according to a second Markov Chain whose transition matrix is 0.4 0.6 0.6 0.4 -(04) The hunt finishes the first time both the spider and the fly are on the same position, (a) Describe the hunt with a suitable 3 states Markov Chain (b) Assuming that at time 0 the fly is in 1 and the spider in 2, what is the probability that the spider catches the fly in one of the first three moves?

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Answer #1

gaven-A)-(SE a location hene-5, piden us ar·Location y us at locaion y and spide tha hunt state nt) tha and us Qloso orbing s

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