PROBABILITY AND STOCHASTIC PROCESSES

QUESTION 2 Suppose that coin I has probability 0 8 of commg up heads, and coin 2 has probability 0 7 of coming up heads 't lhe coli) flipped today comes up heads, then we select cow I to flip tomorrow, and If It comcs up tails, then we select com 2 to flip tomorrow (2 1) If thc probability of Imtial(y filpptng coin I ts twice the probability of Initially flipping coin 2, then what the probability that com flipped on the third day after the Initial day flip IS com l? (10) (2 2) Suppose that the com flipped on Tuesday comes up heads What IS the probability that the coin flrpped on Saturday of the same week also comes up heads? (4)