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A market survey shows that half the owners of Sorey State Boogie Boards became disenchanted with...

A market survey shows that half the owners of Sorey State Boogie Boards became disenchanted with the product and switched to C&T Super Professional Boards the next surf season, while the other half remained loyal to Sorey State. On the other hand, three quarters of the C&T Boogie Board users remained loyal to C&T, while the rest switched to Sorey State. Set these data up as a Markov transition matrix. HINT [See Example 1.] (Let 1 = Sorey State, and 2 = C&T.)

  

Calculate the probability that a Sorey State Board user will be using the same brand two seasons later.

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