Question variant: 900e3929) Consider the following configuration tree for a given Probabilistic Turing Machine M on a given input word w: (greject , U, aba) (Gaccept, a, aa) 0.5 (q1, U, Uaba) (q1, U, aaa) (qaccept, U, LUbaa) 0.5 0.33 0.33 (qaccept, aaa, U) 0.75 (q1, U, bba) 0.67 (1, a, ba) 0.67 (Ф2, а, а) 0.25 (greject, a, ab) • What is the probability that M accepts w, i.e. what is Prob(M(w) = 1)? • What is the expected termination time for M on input w, i.e. what is E[TM(w)]? Write you answers as a decimal, correct to 4 decimal places.

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