Whenever a commuter has travelled by car, then the next day there is probability 1/3 that he takes the car and probability 2/3 that he takes the train. Whenever he has travelled by train, then the next day there is probability 1/2 that he takes the car and probability 1/2 that he trakes the train.
Write out the transition matrix for this Markov chain.
Help is greatly appreciated!
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