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{"ops":[{"insert":"Given that a person\u2019s last chocolate purchase was kitkat, there is a 75% chance that his \r\nnext chocolate purchase will also be kitkat. 5% chance that his next chocolate purchase \r\nwill be park. If a person\u2019s last chocolate purchase was park, there is an 70% chance that \r\nhis next chocolate purchase will be kitkat. 10% chance that his next chocolate purchase \r\nwill also be park. If a person\u2019s last chocolate purchase was dairy milk, there is an 90% \r\nchance that his next chocolate purchase will also be dairy milk, 5% of kitkat and 5% of \r\npark.\n(a) You may buy daily milk today with a chance of 99%. What is the probability that after 3 \r\npurchase you will switch to kitkat?\n(b) Does this statement proof long run property of markov chain\r\nsteady state probabilities?\n"}]}
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