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For the birth-death chain P=[1/21/2001/41/41/2001/41/21/4001/21/2]P=\begin{bmatrix}1/2&1/2&0&0\\1/4&1/4&1/2&0\\0&1/4&1/2&1/4\\0&0&1/2&1/2\end{bmatrix} with π=(1/9,2/9,4/9,2/9)\pi=(1/9,2/9,4/9,2/9), compute the flow π1p12\pi_1 p_{12}. Give your answer to 44 decimal places.
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