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    Markov chain of a die rolled onto adjacent faces

    P-TRIV-PR29

    Area
    Prelim
    Status
    draft
    Contents

    A dice is turned randomly from one face to one of four adjoined faces. Suppose it fell 6 at \(t = 0\) . Find the probability \(P _ { n } , n \geqslant 1\) , that after n such turns it will show 6 again. Find the limit \(\operatorname* { l i m } _ { n \to \infty } P _ { n }\)

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