# 25 similarly if the dog is in b and oscar spends a

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will find the dog that day is 0.25. Similarly, if the dog is in B and Oscar spends a day looking for it there, he will find the dog that day with probability 0.15. The dog cannot go from one forest to the other. Oscar can search only in the daytime, and he can travel from one forest to the other only at night. All parts of this problem are to be worked separately. a) In which forest should Oscar look to maximize the probability he finds his dog on the first day of the search? b) Given that Oscar looked in A on the first day but didn’t find his dog, what is the probability that the dog is in A? c) If Oscar flips a fair coin to determine where to look on the first day and finds the dog on the first day, what is the probability that he looked in A? d) Oscar has decided to look in A for the first two days. What is the apriori probability that he will find a live dog for the first time on the second day? e) Oscar has decided to look in A for the first two days. Given the fact that he was unsuccessful on the first day, determine the probability that he does not find a dead dog on the second day. f) Oscar finally found his dog on the fourth day of the search. He looked in A for the first 3 days and in B on the fourth day. What is the probability that he found his dog alive?
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