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6. You start with a deck of 3 aces in this order (700. At each step, you toss a fair coin: 0 If H, make

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6. You start with a deck of 3 aces in this order (700. At each step, you toss a fair coin: 0 If H, make a random cut. E.g., @500 000 W.p. % or @030 > (>00 W.p. %. 0 If T, pull middle card to front. E.g., 0(O) r 090 (a) (1 pt) Draw the transition probability graph with labeled states/ arrows. (b) (2 pts) Check that the stationary distribution is uniform. (Well shufed!)

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