Customers in a certain city are continually switching the brand of Perfume they buy. If a customer
is now using brand A, the probability he will use brand A next month is 0.8, that he switches to
brand B is 0.1 and that he switches to brand C is 0.1. If he now uses brand B, the probability
he uses brand B next month is 0.95 and the probability that he switches to C is 0.02. If he now
uses brand C, the probability he uses C next month is 0.75, that he switches to A is 0.2 and to B
is 0.05: Formulate the problem as a transition matrix and find the probability that a customer now
using brand A will be using brand B in two months.
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